I don't know about Weaver but Leupold makes a nice one piece base built specifically for long range shooting. I believe it's under $20. I have 3 of them and they work well. In a few weeks, I will have a new one piece base/ring that I designed. Prototypes are being CNC machined now. It will have 30MOA built in and the rings are actually built in. The only moveable part is the ring caps. By summer, I will have these for sale.