I also am a bigger person and I looked into getting a Savage 64. They have pretty good package deals on them. however, i've held BB guns that feel more like a gun than the 64. As soon as I held one in the store I put it down and never thought about it again.
I was then about to buy a 10/22 until I held a Reminton 597. The 597 is a very good feeling gun. It fit me very well and didn't feel like junk like many .22 do. you can tell this gun was designed for adults. The mag isn't exposed and its very accurate right out of the box.
I highly recommend it and it was only $159.
BTW, many folks complained about the mag on this gun but remington has fixed it and it is a great mag that feeds very well and is easy to load. The 25 rd mag doesn't feed very well but its still fun to have.
Let us know what you go with