Something to keep in mind, is that in the FAA world the ATP practical exam (checkride) is the same as a type rating practical exam. They use the same practical test standards. In fact now if you had a type rating(s) on your commercial certificate, it automatically transfers over to a ATP type rating when you get your ATP, no matter what you took your ATP checkride in. So I would say that if you have an appropriate knowledge exam (written exam) that is current, then find an accelerated type rating course and get the ATP and a type rating at the same time. Kill 2 birds with 1 stone so to speak. The cost difference will be small.
Be careful, there are a couple of type rating schools in the Miami area that offer a sim based ATP course in a B737 sim, but you do not end up with the type rating. Some how they talked their FAA inspectors into approving the courses. IMHO it is nothing more than a way to get more money out of students.
Good luck.