My spouse and me are currently working on H1 and we do have our EAD and AP even though we are not using it. We are planning on a trip to India in the month of December. Both of our H1 visa's on passport have expired. We plan on using AP when coming back to US to avoid the hassle of getting our passports stamped. We plan on remaining on H1 even though we use AP to get back. We do plan on renewing our AP and EAD when they expire. What I want to know is... is there any advantage of having visa stamped in your passport as to using AP if you plan on remaining on H1? One that I know is cities like London require you to get a transit visa if your visa has expired when traveling to India.
We would highly recommend not applying for an H visa if it can be avoided. In the past few weeks, I have provided consultations to various employers on H-1 visa refusals. The refusals were ridiculous, illegal and would be overturned if there were an adequate mechanism for reversal. So, I see no point in applying for an H-1 visa. Even if you enter on AP and continue working for the original H-1 employer, you ARE considered to still be on H-1. All other matters are more or less ancillary.