Jim,
I am late to the conversation, and before getting to the post about being sauggested a weirauch HW30s that is what I was going to suggest. It is not pumpeable, as you already know, but it is a very smooth shooter.
I got one, also to use a trigger finger trainer. I can stack cheap chinese pellets in pretty much the same hole at 10m, and my kids (5-7y) can shoot it failry accurately too. It is light, scopeable (I had a 6x SWFA MQ in it, then a 10x SS, now has a Hawke 2-7x32AO Mildot which I think is a much better balanced option.
Never tried hunting with it, and as suggested above, there are other options for accurately and humanely killing when you get further out. Inside 30 or 40yds would be fine for birds, and I think accurate enough for head shots.
