Whew! As much as I like Bushnell scopes and have written of it here on GB's, I would think a Sharpshooter on an '06 would be asking a lot of the scope.
I have an older Sharpshooter that came on a used rifle. It is a 4X and is currently mounted on a .22. I like it and have had no problems, but I've never purchased a new Bushnell below the Sportsman line.
I do like the Sportsman and have several mounted on .22 LR's and .22 Mags. I also have them on lower recoiling centerfires such as (2) .223's and a .44 Mag Handi rifles. I've not had any issues with any of them.
I've had very good luck with the Banner and Legend models, as well.
The old Tasco may hold up better than the Sharpshooter. Older Tasco scopes that were made in Japan are praised for their optics and durability as well as steel tube construction. I bought a Tasco 3X9X32 with the "Wide View" feature in 1975 and its still on the Rem 700 .30-06 that I mounted it on then. It functions as well today as it did when new. Curiously, when I bought the Tasco it was considered a bottom end scope. Now the Japanese Tasco's bring a good dollar on the used market.