Wow , just wow.
It seems the OP has decided to not cut is bbl, but here goes on the subject. Cutting , crowning , and rethreading is indeed simple. What gets complicated is the gas port, the sizing gets critical for proper , or at least quasi reliable functioning. Even with expected to be correct sizing , it is common to use some combination of different buffer weights , extrapower springs , or orthopedic muzzle devices for proper cycling.
The minimum aproach would be to purchase a bbl assembly to fit to your upper reciever. But as mentioned , having a dedicated upper has a lot going for it, if only to let you be able to switch your gun back into Title 1 configuration for those occasions you wouldn't care to deal with Form 20 , or any state regulations. While you can spend as much as you care to spend on big name designer complete uppers , I was able to get a complete 10.5 upper on sale from PSA for about half of what I spent on my Genuine vintage Colt Commando upper.
But before you even start any of the paperwork ( which needs to be done before you start work , or even accumulate the parts) you need to decide what bbl length you desire. I'll presume you already thought out the pro/ cons of short bbl AR's , and decided in favor, so I'll skip THAT debate.
But the next eternal debate is what is the *best* balance of handiness vs function. [ Unless you have a particular military configuration in mind you already wish to emulate.]
The simplest is 14.5/14.7in . A "normal" 16in bbl carbine gas system could be chopped , and would probably improve the cycling. But you are spending a lot of time and hassle to get minimum shortening. You might as well go with one of the M4 bbls in origional length with a perminently attached flash hider and avoid the NFA requirements.
Shorter than 10.5 , and the reliability issues go up exponentially, not to mention the muzzle blast and velocity loss. There is a strong argument in favor of 12.5 giving a substantial increase of Dwell Time over 11.5 in exchange for 1in longer. * Biggfoot's Recomendation * is for you to study on AR gas system theory , and flip your personal coin between 11.5 and 12.5 . On a dedicated upper.