Second the March 5-40 with 10 yd parallax. Unbelievable scope. Have it on an air rifle, but I would maybe consider a S&B if you need high end due to more elevation travel...
In reality I never use under 50 yd on a rimfire...even a 35 yd target that is the closest on a string in our monthly rimfire match I leave parallax at 75 or 100 cause the targets go from 35-150 yds. I have yet to see a COF that requires the whole stage to shoot at pt blank. Its too easy. The other monthly rimfire match has nothing under 50 yds...
I would get a scope that has massive elevation travel over parallax as rimfire shooting has really expanded into a LR sport and you will need that elevation to stretch its legs.
Good luck!
DT