I may have found a support advisor that helped find a way to file the extension.  Because I ended up with the same extension filing error for Louisiana trust extensions, I called in for the 3rd time.   This advisor had me enter dates on the Federal Information Worksheet as if I were filing the Federal return, plus the signature date of the return, then the signature date of the Louisiana return as if I were filing the return, not just filing an extension.   Hopefully this will work.  At least the extensions have been transmitted.   If they are accepted, I will have to go into ALL of these returns and remove these signature dates so the actual return filing dates can be used once the returns are ready to file.   Fingers crossed.