I have friends that have both the 1100 and 11-87 remingtons and they shoot just fine when you find the right ammo.
That being said if I was concerned about price I would get the Browning Gold rifled deer hunter. It comes with a thick walled 22 inch fully rifled barrel with a 1:28 twist, compared to most others that have a 1:30 something twist.
You can get it in camo, black or pretty wood.
A little bit pricey at a suggested retail of $1,000-$1,300 though.
You could get a good pump or bolt gun for at least half of that. Or an H&R for much less. I would go with a 20 ga though to be honest.