First of all, USCIS may approve your case without asking for EAD continuity. Second, even if they issue a status related RFE, you will be covered by 245(k) if your accumulated "out of status" and "unauthorized employment" time is shorter then 180 days. 245(k) is great since it is not limited by when you started your LCA or I-140, nor does it require $1,000 penalty.
If your accumulated "out of status" and "unauthorized employment" time is greater then 180 days you may get an NOID with an option to pay the $1000 fine to convert to 245(i).
The bottom line is that one way or the other you should be OK.