Having owned both rifles, I would keep the one and buy the other. I had a plain vanilla 93 in 17HMR and it shot fantastically well. It is a trifle expensive for squirrel hunting, but will do the job. The trigger could use some help, but there are both aftermarket triggers and cheap fixes online that only take a little bit of time. The 10-22 often needs trigger work, too, and the easy way is to get an upgrade kit that drops in. It is a tie when it comes to the trigger, both will need work to be right, with the slightest advantage to the 93, as the trigger can be improved with only an investment of a little time.
I have killed a lot of squirrels with a .22, and a few groundhogs as well. The range is limited compared to the .17, but the same is true comparing the .22 LR to the .22 Magnum. If hunting is on the card, then the 10-22 has an advantage in terms of cost, the .17HRM in terms of absolute accuracy and range. Further, .22 ammo is much more versatile, and you can choose a load to match conditions, as opposed to the few choices with the .17 (basically 17 or 20 grain, hollow point, polymer tip, or FMJ).
For plinking, the .22 has it all over the .17 when it comes to cost. If the splat factor is considered, then the top dog is the .17, as it will make things go pop much better than the LR, unless you use Stingers, et al. The .22 never comes up to the .17 for splat, though a box of the defunct Winchester Xpediters compared to the .20 grain HMR would be mighty close.
If I had to choose only one over the other for squirrel hunting, I would sell the .17 and get a new 93 with Accutrigger in .22LR. I have never seen an advantage of a semi-automatic over a bolt action when squirrel hunting. The extra accuracy of the Accutrigger setup over the Ruger would be worth the difference. You should not have any trouble selling your 93. I think it took me about ten minutes to sell mine, and I was not even thinking about selling it, only talking to a friend about getting a 93 with an Accutrigger.
By the time you buy the Ruger and the aftermarket trigger, you will be in the same price range as an Accutrigger Savage. On the Ruger side, it is good for a lot more than just plinking. There are all sorts of aftermarket parts and services. You can sink well over $1,000 in a Ruger doing the work yourself. If you want a rifle that will absolutely suit you in the end, then the Ruger is the way to go. If you want an accurate rifle out of the box and will be satisfied with that , then the 93 is a grand choice.
Good luck!