welcome buff--
this is just a suggestion/question. if you already have a good shotgun and want to spend around $350 for another, why not get a solid rifle? i' m assuming the 11-87 is a twelve, so why not add a deer rifle to the collection. now you got birds and large game capabilities with much longer accuracy than a rifled shotgun. unless you gotta get rid of the shotgun or something. i know you could find a good new or used rifle at a shop or gun show that will do the job somewhere around that price. but....
if you want a shotgun i' d get a browning

...but not sure if youll be able to get it new for only $350. the bps hunter sounds solid to me, but i only have autos so i really cant help you there. hope you get what you want. hang around here and listen to these guys. they' ll give you good advice.