Assuming that you cannot find a place with hookups, let's work through the most important things first.
I don't know your situation, but to be first on the list is ease of being able to use the toilet. In a Camry that will be doable, but as mentioned before, not the easiest thing to navigate. Advantage SUV
You mentioned fridge and keyboard. Both take room. But playing a keyboard does require some headroom. Not being comfortable doing one of the things you would want to do for recreation while "inside" would really become a bummer. You could always go to the beach or park and play outside. But for the times you just want to relax inside and play, make sure you're setting yourself up for happiness, not frustration. If outside playing is good for you, Camry or SUV works.
I personally would want a 12v fridge. They are quiet and aren't a huge battery draw usually. Depending on your layout, the Camry can have one. The SUV can probably have a bigger one if that matters. Camry or SUV works.
Cooking in the Camry would probably not be advisable, but the are a lot of car campers that make cooking work for them. I don't know enough about the logistics regarding that. The SUV would have more space to prep and cook.
Stealth. An SUV will be much easier to be stealthy in. Most larger SUVs have dark tinted back windows, so nobody would think twice if you put blackout panels in at night. You might even be able to get a flexible solar panel that directly fits on the roof. I mention this because I have seen many hard panel setups that are great. But it's the rare one that would qualify as stealth. A lot of SUVs have side rails on the roof. So a flexible panel is somewhat hidden, as there's nothing on the rails.
Cooling and heating. I think the are solutions for both vehicles. But I do think you have more options with the SUV.
Just a few things that might help your process.
If you can rent a parking space from someone that you can't camp in, you can park the Camry and use it for longer trips and drives. And switch out vehicles when you want to do different things.
Good luck!