RE: trap gun?
Look for a Beretta Urika 391 12g, any model with Mobile choke, this was replaced by an 'new' Urika 391 with different chokes (Optima chokes and Optima Bore). The new ones are $900, you can find a year two old model for $600 or so.
Light, fast and low recoil for shooting trap, skeet, 5 stand, sporting clays or field hunting. The o/u is probably not going to be a good choice for high volume shooting at $600
Another consideration - Beretta Pintail (semi - recoil operated for $500 used) or Benelli Montefeltro (semi - recoil - same design - for $600 used). Both are light and shoot great.
Most trap guns shot high to compensate for the lift of the target flight, field guns are will not (usually), either way you get used to how a shotgun shoots.
good luck.