I Swear I Thought of This Months Ago: Different Doctors in Midnight
The thing with Midnight is that shit goes wrong because it's a companion-lite episode. The two people the Midnight Entity singled out to possess where the two people traveling alone. They were easy to isolate from the group. If the Doctor's not traveling alone here, and there's this human who came in with him just going along with whatever he's doing, it's going to seem less suspicious. So, what would happen to any Doctor in Midnight is based more on their companions than the Doctor. Donna took the day off of adventuring to enjoy the spa. Not all companions would do that.
First Doctor: He may get on everyone's nerves, but he's going to have a granddaughter with him and people will judge him less harshly because he has a family. You've got a couple with their teenage son there. They see an old grandpa with a granddaughter the same age as their son, they're going to see him as someone like them. As for the granddaughters, Susan wouldn't want to leave her grandfather and Vicki canonically is more interested in adventures than relaxation. I'm less sure about Dodo, because nobody is sure about Dodo. She's a wild card.
Second Doctor: A group of people in a small space menaced by a monster? Might as well be a base under siege. He's in his element here. He also tends to be better at understanding human nature than most Doctors, so even if he was alone, he might not end up quite so isolated. And he wouldn't be alone. Out of a combination of loyalty and discomfort with spa environments, Jamie would definitely be with him.
Third Doctor: Following the Doctor around on his adventures is literally what Jo was hired to do. She'll be the one telling everyone that the Doctor is an expert on basically everything and she trusts him so they should too. If they try to throw him out she'll try to either take his place or go with him and nobody will want to hurt her. Nobody wants to hurt Jo. Even the Master didn't want to hurt Jo.
Fourth Doctor: When Four shows up somewhere, being weird, acting like he owns the place, and having way too much fun in a crisis, people tend to sort of roll with it. It's a superpower he has. But, if we want to turn the superpower off, we've sort of got three eras to consider. Sarah Jane would probably follow the Doctor, since she's still a holdover from Three's "companions are literally the Doctor's assistants" era. Leela would not understand the appeal of a spa and would threaten people into listening to the Doctor. As for Romana...Okay, we've got another Time Lord. I actually don't know. She'll probably go with him and might have slightly more luck with the locals.
Fifth Doctor: Really depends on the TARDIS team. Tegan's going to take the goddamn spa day and will talk Nyssa into going with her if she's around. If it's just Nyssa, she'll go with the Doctor and everyone loves Nyssa, so everything will be fine. Turlough is going to enjoy a pleasant day off. He can relax, do a bit of sketching, and not have to deal with yet another traumatic incident. Adric would not understand the idea of a spa, call it stupid, get into a fight with Tegan, and if he wasn't going with the Doctor before this, the Doctor would insist purely to separate the two and restore order. Adric has no social skills, so he wouldn't exactly make the Doctor look better, but like with One and his various granddaughter companions, the family on the train would be more comfortable with a family man.
Sixth Doctor: The classic Doctors have done well so far but Six is probably fucked. Peri would probably like a day off from him and the violent shit that happens around him. Mel might try to get him to stay at the spa for health purposes. I don't know the EU well, but Evelyn might have a chance of coming along and getting him to behave, but no promises for anyone else.
Seventh Doctor: Of course Ace is there. Yet another Doctor passes as a family man and it's easy.
Eighth Doctor: I don't know the EU well and Eight is the Whoops All EU Doctor, but he seems to pick up companions that would follow him around here, being all human and convincing the humans not to bully him. But, considering Eight's luck, they'd probably try to throw him out of the train anyway and he'd end up traumatized again.
Ninth Doctor: Might actually consider just spending the day at the spa, but if he gets bored and goes on an adventure, Rose probably gonna follow him. The day is saved with the Power of Love or something.
Eleventh Doctor: Amy wants to go with the Doctor despite Rory's protests. There's a lot of bickering but they get out fine.
Twelfth Doctor: Clara is his carer who cares so he doesn't have to, so preventing Midnight incidents is sort of what she's there for. For Bill, this would be an educational experience. Twelve gets on everybody's nerves a bit, and he gives a speech about how stupid everyone's being, which doesn't actually help, and he'll probably end up getting punched in the face, but not thrown out of the train.
Thirteenth Doctor: She tells her companions to just enjoy themselves and wanders off alone. If they insist on following her, and Yaz probably would, we're fine. If she successfully ditches her companions, she's in trouble. She'll openly admit to being socially awkward, but I'm not sure if that would actually help in this situation.
Fourteenth Doctor: He's retired. He's probably staying with Donna. If not, everything mainly goes the same as it does with Ten, but it feels more cruel.
Fifteenth Doctor: Ruby would go with him and he's actually pretty good with people anyway. I'm guessing the Fourteen remembered being Ten and regenerated into someone unlikely to be thrown out of a train on a death planet just in case.