I've used my Hellis 2" for grouse & woodcock and I can't think of a gun that might be better to carry for that type of hunting. I can one-hand it with ease when ploughing through close quarters and briars. Weighs about 5-9 w/ 26" bbls.
Key though is gun fit. I was lucky enough to find one that fit me well with the addition of a pad. Many of these guns were made for women and have undersized stocks. Mine patterns well enough but I need to have it opened up a bit.
What maker are you looking at? If it's one of the newer Spanish guns fit shouldn't be a problem and you can get 28" bbls if you like. I also know of a Churchill for sale in the $5K range.