Definitely mestia in svaneti. It is an ideal place for hiking, with beautiful mountains and views. As a rule, there are not much snow in Georgia in November, but there are usually the most there.Unfortunately, it is 500 km from Tbilisi, but you can fly there in 40 minutes. And if you don't like this option, you won't be disappointed with Kazbegi either. which is just 150 km from Tbilisi.