I can't speak from personal experience, since I've never actually had a trade dispute myself, but I've spoken with several traders in the past who stand by Localbitcoins dispute settlement as one of the best. From what I understand, the person who sent the money has to prove that he sent it, and I can tell you now, that the screenshot is not enough (and if he's faked it, he'll be found out).

Traders with 0 trades and feedback also will be a red flag for their dispute team, but I have to say you took a big risk by taking his trade with Payoneer (especially when selling). Never fall for high rates!

LCB is a very decent platform, but you have to stick to the standard "rules" ie. find reputable ones with significant histories. Find a few trusted traders and stick to them, even if their prices don't tend to be the best (what's a few dollars when you trust them right?).

Let us know the outcome, I'm sure you'll come out okay.