I have both the aforementioned rifles, the 597 is noticeably heavier, and at least in my case out of the box much more accurate than my 10/22.
Having said that I much prefer my 10/22 for several reasons; upgrades, reliability, and fun! You can spend a fortune tuning and replacing every component of the 10/22 if you wish or just leave it in its standard configuration for a great rifle, the 597 has a much smaller list of upgrades for purchase but out of the box I found it quite a bit more accurate, others milage may vary.
In terms of reliability I would always reach for my 10/22, it eats any ammunition I feed it, it rarely if ever has a malfunction even when wet, cold and dirty my 597 on the other hand I couldn't count on to make it through a 10 round magazine, also I had several run away firings with it even when properly cleaned and maintained.
I was in your position and opted for the 597, and then a month later went back and purchased a 10/22, and it hasn't disappointed me yet! Of course these are just my experiences and opinions, hope it helped.