Love my 597
I've got a Wal-Mart bargain basement 597 (camo stock, $140 or so).
It's a fantastic little rifle. Points great, feeds well (have had a couple FTFs, but usually with new magazines; that spring is stiff with 10 rounds loaded until it breaks in). It's scary accurate for such an inexpensive rifle, even with the cheap stuff.
Recommendations about the 597:
1) Make sure you have 3rd generation magazines (metal, a little "10" in a circle). They went to this design some time ago, so most of the ones on the shelves (unless a particular one has sat there a LONG time) should have them. I have read about people who have had Remington make even-up exchanges of old magazines.
2) loosen the guide rod screws. They should not be that tight- just touching is fine- otherwise they will torque and bend the rods, causing the bolt to bind.
The Marlin 7000 isn't bad. The 10/22, while reliable, just doesn't have enough of a reputation for accuracy- while you can make it very accurate, you will spend many times more for parts than you did for the rifle. The 597 starts off plenty more accurate, and I would think the Marlin 7000 would as well.
You can read plenty on
www.rimfirecentral.com on these various models.