As already suggested, a combo such as the Mossberg either 930/935 or the Baikal MP-153 (no combo but is also available with a short[er] barrel) could serve you needs. Those shotguns work very well more often than not and in the majority of cases it is usually the guy behind the gun who makes the most difference - handling/performance as well as from a perspective of maintenance. With the 935, one may or may not need to shoot a whole bunch of shells to "loosen" that up to comfortably digest (read 1 1/8oz 3 dram) target loads.
However, if there is no intent at all to use that firearm for clay shooting then there shouldn't be any issues at all regardless of whichever firearm you may decide to obtain eventually.
Two of us shot some rounds of Skeet last week - my friend shot very well using his 935....no FTE or any other trouble whatsoever (his shotgun has also been well broken in over the past few years).
On the other hand, I was using a brand new Beretta A400 Xcel and sucked big time, performance wise.

The firearm also had F2F twice as the bolt didn't lock into battery....I had deliberately used that just plain out of the box without any cleaning other than a quick patch down the bore.
Bottomline, identify something that fits you well and then decide how far you are able to extend the budget for a purchase.