Batumi is an unusual city, I've been there and I have conflicting impressions of it. On one side, it's developing really fast, it has some nice views, tourists and expats. On the other side, it still has a post-soviet vibe to it, old creepy commie buildings right next to the new developments, shady taxi drivers, etc. It's a polarized city: a lot of poor people and some rich visitors (for poker cash games, the blinds are 10 20$. Which means you gotta sit down with about 4k for only one session. Who plays them? I don't know, probably ppl from relatevely close countries where gambling is prohibited).
I would be weary about transferring cypto to an unknown agency. You can, however, pay with cash (you can cash out btc OTC somewhere and fly over, they don't usually check the luggage but if they do, I assume you can get away saying you're there to gamble, there are many casinos). The bank asks no questions, you deposit it and buy the apartment. The occupancy rate in those new hotel rooms is quite low, I remember keeping an eye on how many windows light up at night, there were less then 10%. If you feel like you're over exposed to crypto and you urgently need to diversify in a non-CRS way, it might be an option. Georgia is not yet reporting to CRS. However, not sure if the flow of income would or would not get reported later or if you can trust the agents to be honest in giving you the rent money (what if they rent it out without you knowing? hard to know without actually being there).