I also had middle fossa at House; feel free to PM me if you want to ask private questions or talk.
The first 24 hours I could not sit up without reeling and retching. Prob a combo of the anaesthesia and the vestibular nerve loss! My surgery ended at 7 p.m. so the surgery and aftermath were both Day 1 and most of Day 2. My aunt was with me and slept in the room the first two nights. She didn't really need to *do* anything, but it was my first surgery and I was nervous about being alone. The nurses were extremely responsive, so I would've been fine -- it was more an emotional need.
After that, it's steady recovery and you won't *need* someone there, but you may want someone there for some of the little things you may want, and just for a little tending-to. I think it was Day 3 a physical therapist came by to make me walk (using a walker), and I felt like I was a hundred years old -- stiff, a little whirly, and just not wanting to do it. (Bear in mind these days move like molasses -- one hour felt like 10 to me.) Day 4 I did more and cast off the walker. Day 5 I was walking out the door. The next days I walked very near the hospital campus, by Day 9 I went to a shopping mall. It's steady progress. I still rested a lot, and liked to just close my eyes even if I wasn't sleeping, to shut out the overstimulation. During this period you can get food from the hospital cafeteria -- you can eat cooked meals/salad bar there and buy things for your fridge, like cereal and milk or whatnot -- like if you were alone and no one could go for groceries!
As for the days they make you stay, the primary reason is to let your noggin do some more healing before you fly, I believe. (And I found it quite nice to be 50 feet from a hospital during the early days of recovery -- just in case. And you can walk to your followup appt right there, too.) By Day 10, the risk of CSF leak is down to like 1-in-1,000. Normally they see you a week later to OK you to fly, and at that point they take out your stitches.
I went to LAX the next week on my own power, but did use a wheelchair at the airport. It's not so much the sitting that helps (though that was nice), but as much as that, I think it'd be taxing to have to wait in all the lines. In the wheelchair they just whisk you through everything and there's no waiting, so it really shortens the tiring effect. Flying itself was fine, and my friends picking me up were surprised to see me marching out of the airport to the car on my own afterward!
I know it's a tough decision that only you can make. Just do what's best for you for the next 50 years, not what's easiest for the next two weeks. Disclaimer: I do not know what options you're considering, so this is not a commentary on any of them. I'm just saying that there are certain things in life that *do* shatter our routine for a minute, and brain surgery is certainly one of them. Don't feel selfish about it.