I would go to ATP. Fastest way to get your time, a garunteed instructor position, and you said you already have a degree so you're good there. Timing and seniority are EVERYTHING in aviation! ATP will get you going faster! I would stay away from the tuition reimbursement program agreements that they have with certain regionals though, since you said money isn't an issue. You wouldn't want to lock yourself into working for any particular regional, when there might be a better option available to you once you hit 1500 hrs.
disclaimer: I didn't go to ATP, just what I'd recommend given your situation