I have a couple 10/22’s and one of my favorite scopes for them is the Vortex Crossfire II 3-9X40. Super clear glass, long eye relief, only around $150 and you just can’t beat the unlimited lifetime warranty. They will replace your optic even if it’s your fault.
I am putting a Nikon on the old vintage Montgomery Ward branded Mossberg 340K, to wring out its potential. The one I selected was:
https://www.academy.com/shop/pdp/ni...150-3-9-x-40-riflescope#repChildCatid=1591463