Anyone can think of an efficient solution? I can't think of anything without involving branching and wacky memory operations.
How big can HL be?
It will be within the full 24-bit range always
If you meant hl logical shift right 7 (10F+3R+3W):
   rlc l
   dec sp
   push hl
   inc sp
   pop de
   ex.s de,hl
   adc hl,hl

If you meant hl arithmetic shift right 7 (9F+3R+3W):

   add hl,hl
   dec sp
   push hl
   inc sp
   pop de
   sbc hl,hl
   ld h,d
   ld l,e
It works, indeed. Thanks!
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