As for buying an SBR, it really isn't as hard to do as it seems. If you can own a firearm, you can own NFA items. You basically have two routes you can take concerning SBR's:
1. You can buy a factory-built SBR from a Class 3 dealer in Ohio. You can either buy from your dealer's stock, or have him order directly from the manufacturer if he doesn't carry the model you want. You will pay for the SBR before filling out the paperwork, but the SBR must stay at the dealer's shop until you are approved. It will be transferred to you on a Form 4.
2. Register your own lower receiver on a Form 1.
Depending on which route you choose, you will either need two Form 4's or Form 1's, two fingerprint cards, and a citizenship form. You then take this paperwork to the chief law enforcement officer (CLEO) in your area. This will usually be either the County Sheriff or Chief of Police (depending on whose jurisdiction you live in.) The CLEO will sign your paperwork and fingerprint you on the cards. If you live in an area where the CLEO refuses to sign NFA forms, you can form a simple corporation (LLC, etc.) and then are exempt from the CLEO signature and fingerprints. You will then need to attach a passport photo to each of the NFA forms, and send all completed paperwork to the BATF along with a one-time fee of $200. (Some dealers send the paperwork in for you.)
Then you wait. It usually takes a couple of months for the BATF to approve your paperwork. When they do, they will send it to the dealer (if purchased through him), or directly to you if self-manufactured. When the approved paperwork arrives, make a photocopy of it, and keep the original in a safe place. Carry the photocopy with the SBR in case an LEO should ever question you about it.
SBR FAQA Couple Of Ohio Class 3 DealersYou might ask for more local Class 3 dealers in the
AR15.COM Ohio Forum.
Good luck.