*I am assuming that you have one of those molded receptacles with it's own
mount and cover. *You could change it to a deep 4" or 4 11/16" square box
and install a dryer receptacle in a position that won't bother you.

That sounds like the best idea. Yes it is one of those molded surface
mount receptacles. Why they manufactured it with the outlet opposite
the orientation of the 90 deg plug, I have no idea.