Free: Contests & Raffles.
I have that same Browning only in 12 gauge. I actually used it today and rolled a few pheas out at Cooke Canyon!!MS
You can get a Remington 870 in a youth 20 ga. that should fit you very nicely, and the recoil will not be bad either. You should be able to check em out at any good gun shop.
You may wish to consider one of the youth model shotguns in a .20 guage. A wide assortment of youth 20's available, to fit your budget....EDIT: huntbear, ya beat me to it!