OP, I see you are in TX.. a Free state. Why not just spend a bit more and go the NFA route.
I shipped a barrel to get threaded to adco.. they do excellent work (and super quick compared to the bozo's in town - Austin, TX). Only issue was the shipping to adco (barrel only) was like $25 (insured). Then the return shipping was about the same.. Still cheaper in total then going local... But my point was I paid over 100 doing that.
So, depending how much you are paying to pin this.. $200 is a small price to pay.
FYI, I went the Trust route with mine.. Used online documents to do it. Very cheap and easy to fill out. While I waited (and yes there is a long wait), I used a pistol buffer tube.
Anyway, figured I would give you that option. PM me if you have questions on the above (OR if you want Trust doc templates I used). If you are near Austin, TX... You can take the pistol buffer tube from me while you wait. I don't need it anymore.