So... do it?
Now to the question which distro, honestly it does not matter YET!
You probably don't even know what a distro is (no offense) but what you did highlight clearly are the needs, namely :
- playing games
- popular
- not Mint because somehow it breaks (would be VERY important to understand why though)
... so that actually narrows things down quite a bit.
The most popular distribution are the easiet to find (I'm on Debian and SteamOS so I use Arch BTW) and that's a safe choice indeed. Playing games does not narrow things down much as most distro, if not all, do not prevent against playing game and IMHO the optimization specific to gaming are pretty much pointless in most cases.
Your edit point that you are trying a distribution already so yes, please, do go for it. I do suggest though that WHEN things go wrong, like it did with Mint, you take the time to understand WHY. This in itself will help you to either switch to another distribution and arguably more importantly what even is a distribution and finally which one of the remaining ones (if you do actually switch rather than fix) are more appropriate for you.
Finally my last recommendation is to back up your data. That's what IMHO make the difference between having fun distro hopping versus pulling hair out stressing that your last game save, or work notebooks, will not be deleted.
Have fun learning!