I've used Bushnell and Simmons scopes and, in my opinion, the optics are quite usable. From personal experience, however, I know Bushnell doesn't stand behind their warranty so if your Bushnell or Tasco scope breaks (Bushnell acquired Tasco several years ago) you're probably out of luck.
I also have Thompson/Center and Leupold scopes and know that those two companies really stand behind their products. You won't like it if your cheap scope causes a miss on a game animal. It's also a bit tedioius target shooting with a scope that won't hold zero, etc. You're getting a custom shop barrel; why are you going for a cheap scope? I would much rather have a used Leupold than a new Bushnell scope (yea, Leupold and T/C even honor their warranty even if you weren't the original purchaser of the scope).