Unfortunately, they don't seem to have the Reinstatement process any more streamlined than the others. The main holdup for me was they kept trying to find me a date for OKC, but I didn't have to go back out there. Once they figured that out and gave me my facility start date, it had taken 6 months. Hopefully things have changed since then (started last August) and it's faster now.
I've also heard from other reinstatement applicants that they are not getting picked up as fast as once thought. My suggestion is to call the facility you want to go to, and try to work something out with the Manager. I know for a fact that's what helped me.