I am in the same situation and looking forward to see immigration attorney. Someone told me (I am not sure how far it is true , I have to confirm from lawyer), rather than solving RFE , new employer can file new H1B application against the receipt number you have.

It is well known that you can not "transfer" H1B visa unless it is approved. In your and my case it may come under "transition" case, assuing you are on OPT, still I am looking for more clearification from attorney.

Thank you and keep information updated , so it will help others.