Yep - everyone has already said what I was going to say!
Definitely no reason to sit around feeling sorry for yourself just because you're at home. Stay home, but without the self-imposed guilt trip!
Find a good movie to watch, watch the cheesey NYE shows that will be on TV, play a fun video game if you have a console - go rent a game if you need to. Unplug (or turn off) your phone if you're worried about people hassling you or tempting you with bad decision offers.
Worry NOT about what others will think tomorrow about what you do tonight. Worry about what YOU will think tomorrow about what you did tonight.
I've spent countless NYE nights home in front of the tv, even BEFORE alcohol was a problem for me! It's really not all that uncommon. No sweat, sister.
*HUGS*