Before you spend more money on another shotgun.....why not first revisit a few existing options taking the following factors into consideration...
A) How well have you maintained your shotgun since purchase? You may already be aware that the semi-auto action can be more sensitive than other action types and could malfunction due to many reasons - foremost and more common cause is dirt build up. Best to strip the firearm completely and clean that thoroughly if you haven't done so already.
B) What 2 3/4in shells are you currently using? Are those 1oz of #7.5 or #8s target loads?
If so, swtich to 1 1/8oz of #7.5 or #8 target loads (most gun clubs allow that) and see how that works (once you have cleaned the shotgun). Experiment with 2/3 boxes of different brands and completely avoid using the cheap bulk packs i.e. if those are what you may have been using thus far.
C) While it works for Trap, the Full choke (assuming a fixed one?) is not something that one could effectively use to shoot Skeet and/or Sporting Clays type of games. In addition, more often than not, a full choke will not be conducive to most/various bird hunting scenarios.
1) As such, consult a competent Gunsmith to validate if the barrel may be compatible for shooting steel ammo.
2) Find out from the Gunsmith what is the feasibility of installing screw-in chokes or opening up the current choke constriction to something like Mod or IC (IC being more preferable since the shotgun will be used for Skeet as well) that would efffectively serve both Waterfowl and Clay shooting needs.