good fit is a must. Correct LOP at the very least.
lots of used browning and beretta OU's out there for short money, very few in 20 gauge.
if $750 is your bottom dollar, get a cz OU. they are a great value for the money. I think the canvas back model comes in that price range. you could even save a few hundred and get their base model called the "mallard" for around $500 or less. IMO this gun is a great weapon for the price, it has double mechanical triggers - much less prone to failure than other cheaper single trigger guns in your price range. double triggers let you pick which barrel (and choke) instantly instead of hitting the selector and then the trigger. it also has interchangeable chokes, which make it one of the most versatile OU in your price range. you would have to spend a few G's to get a new OU with double triggers from the big boy makers. and last but not least the fit and finish of the CZ mallard may not be the best out there, but its hands above its competition in quality. its also balanced properly and handles like a game gun ought to.
for the love of god don't throw away your money on a Mossberg O/U, mechanically they are garbage.