I couldn't really find any major exchanges that are located in Georgia. There would be no point then in trying to sign up for an international exchange, because the convenience factor is gone and you're probably not going to get as good rates for SWIFT transfers anyways.
From researching, you have really 3 options.
1. Buying/selling your bitcoins on a p2p trading platform such as paxful/localbitcoins to local traders. I would recommend this, it's the most convenient and you will never have any issues with it.
2. Finding a physical bitcoin ATM within Georgia. Possible travel time issues and also rates migth not be as good.
3. Buying/Selling your coins for international payment methods, such as paypal USD on the forum. Make sure you use escrow.
Thank you for your research
I will try both of them.