Hello
I was in a similar situation to you.
I opted for US; simply on the basis that anywhere I wasn't to fly there will likely be a US airplane to rent.
So US license, US reg airplane and other airspace sop the 2 out of 3 rules works.
Of course you can go get 61.75 FAA PPL issued on the basis for and EASA for what ever other ICAO license you get- the FAA 61.75 is valid for so long as your originating license is valid (so medical and flight review) but you have to have an FAA flight review every two years as well.
If this is just a PPL the other thing to consider is the medical - FAA Class 3 (the same as an EASA Class 2 - complicated but so what?) will last for between 2 and 5 years depending on your age. I understand that the EASA ones have to be taken every year - so if you have to travel to get one there is that cost (a big issue for me $3,000 in travel plus the $85 every two years is better than every year. You should be able to find an FAA AME pretty much everywhere in the world - I am out of the way down here and so have to travel.
If you only have two months clear then you need good weather - I did mine in Florida in Jan/Feb it ran about five weeks as I recall - Canada will have good weather in the summer - not too sure about Croatia. Do pay a little more for a school with lots of airplanes and instructors - not much fun if you lose a week or so while one their two airplanes is fixed. Also do find somewhere with very busy/messy airspace - great flying in the middle of no where but confidence with complications and lots of competing radio traffic is important - I think it is one of the best things about where I trained - North Perry right by the Miami Class B and with low (ish) flying under the shelf and in and out of Class C and D - lots of airports around too so not rote landing at the same one all the time - North Perry has four runways so that mixed it up - on my first solo no one told the tower and they switched runways on me, no problems