The Tasco 3-9 will work fine on your 10/22. Being a 22lr. I doubt that you will be shooting beyond the range of the scope. The Tasco will stand up to the recoil on 30-06 so it should have no problem on your .22. I also doubt that clarity will be a problem either due to the range you will be shooting.
In the very early years, Tasco wasnt that good of a scope..........plastic tubes and bells. Bushnell took them over a little while back and their quality improved. Sure isnt going to hurt to put one on there for now. You may even decide to keep it on there.
No such thing as a stupid question. What is stupid is not asking it.