I've had a few Cleveland wedges now, currently have RTX ones. Reliably good, well renowned. You won't go wrong with any of theirs from recent years. Don't get hung up on which model, they are consistently good
My playing partner on a Saturday has the CBX ones and they have transformed his short game, easy to hit.
Which you go for, Cleveland or callaway etc will largely be down to which suits your eye. None of the big names produce a poor one though so don't get too hung up on your decision.
Incidentally, don't get hung up on buying new. You are new to the game, a high h/c in your own words. Back spin is not relevant, it may never be. Get some second hand ones off Ebay to see which brand suits you. There are always plenty of wedge sets out there in great condition. Buy new when you are more confident about what you want.