If you want the SBR, get the SBR. If you have to form a corp. to do so, then just do it. Trust me, you'll be much happier with a stock on a short barreled 91/51 pistol. Additionally, you'll also be able to buy MG's, supressors, and other NFA weapons without the hassle of the CLEO signoff.
If you don't want to form the corp., I'd still advise you to contact your sheriff again and see if you can pressure him into giving the signoff. Use the bluff of forming a corp to get the signature (ie. if you won't sign my forms, I'll simply form a corp and buy whatever I want without your knowledge or approval. If you want to know whats in my arsenal, you'll give me the signoff. If you want to dig your heels in, I'll still get whatever I want but you just won't know what I have.)