Not all cats are good travelers, and I think the stress of traveling could be more dangerous than being without insulin for 36 hours. My cat is NOT good at all at traveling and the first car trip we made with him will probably be the last. So many things can happen when you're on vacation - your cat has stress inflated BGs, won't eat because of the stress/new environment and so can't get insulin anyways, you become too busy or are too far away to drive back and forth and test, etc. the car ride there can be a nightmare too, especially if your cat is afraid of the carrier. Scooter urinated on himself, drooled, howled, and refused to eat - we had given him a full dose that morning since it was only a 3.5 hr ride and we would get there long before his nadir - big mistake. With all the pulling over we did to test him, wash him, give him fresh towels, and let him out a bit on a leash, it took over 6 hours. We had a huge hypo scare when I was having trouble testing him in the back seat because he was so stressed - my meter gave me a false "LO" reading and I almost had a heart attack... not fun, and I couldn't imagine doing it for an even longer trip! Fortunately when we got there he calmed down a LOT but not all cats will.
I don't think your cat is going to die in 36 hrs without insulin unless she is extremely prone to ketones or her numbers are extremely high or... something. Everyone above is just speculating the worst possible outcome... no one wants to be responsible if something *does* happen to your cat while you're not giving her insulin. If you've got the time and money to find her a place to stay by all means do it, but when I got a phone call saying my sister was going to die and I needed to be there NOW, the last thing on my mind was Scooter's insulin. But Thanksgiving dinner is a bit different and you still have some time to plan it out. You use your best judgement here!