If that's the lion's share of your budget I honestly wouldn't bother. You'll end up somewhere like Bulgaria, Albania or Montenegro which will be an administrative nightmare and you'll be in a town with crappy infrastructure and poor planning regulations, that you'll grow sick of very quickly indeed. And anywhere that has access to a shared pool and decent shared facilities will come with hefty management charges which could shoot up at any time and there's nothing you can do about it.
You won't make any money and you'll soon tire of going to the same resort over and over again. You can rent bog standard apartments in most holiday resorts pretty cheaply outside of July and August and be free to visit as many different countries as you like, without any risk to your capital or any horrible shocks like a change in tax laws for non-residents, local government corruption, poor or non-existent management/maintenance of the development you've bought into, or a massive property slump that affects the value, meaning you can only sell at a loss.
I have a second home in a European country, my own garden and pool etc. It's always been very much a second home, furnished and equipped to suit us personally, not a generic 'holiday' home. We love it, but the money it's cost us to maintain it, furnish it, pay the local taxes, have a local caretaker and pool cleaner and someone to keep on top of the garden when we can't be there etc, has been huge. When we eventually sell it (had it 10 years now) we will probably have made a substantial loss, all things considered. When you look at what it's cost us broken down per year so far, we could have several incredible hotel or villa rental holidays per year for that money, and none of the associated hassle or risk of a second home in another country.
But my house does at least feel like a real home. I can fully unwind and have all my own stuff around me. I potter in my garden and indulge my hobbies. Whereas plonking myself down in a pretty generic looking flat that looks identical to hundreds of others in the area, in a town where there are six restaurants and four bars and each visit feels identical to the last seems profoundly depressing to me.