Currently without assist I think these are the strongest combos Cap has. All combos will work on smaller characters, but I included alternate versions to retain consistency.
New corner combo:
Damage - 794,400 - 0.2 meter gain
works on all characters (small characters require stricter timing)
c.:l:
s.:h:, (SJ up), j:h::qcf:
, land, dash, jump (toward corner), j.:h::qcf:
, land, dash, :qcb::l:, :s:, j.
:h::d::h::s:, land, j.:qcf::l: (low as possible), land, dash, :qcb::l:, :qcb::h:, :qcb::atk::atk:
*If you land c.:h: at that start or you aren’t close enough to the corner to have s.:h: push you out, super jump backward and the combo will still work.
For smaller character this is more consistent:
Damage - 777,400 - 0.2 meter gain
c.:l:
s.:h:, (SJ up), j:h::qcf:
, land, dash, jump (toward corner), j.:h::qcf::l:, land, dash, :h::s:, j.
:h::d::h::s:, land, j.:qcf::l: (low as possible), land, dash, :qcb::l:, :qcb::h:, :qcb::atk::atk:
Mid Screen BnB:
Damage - 792,400 - 0.2 meter gain
c.:l:
s.:h::s: j:h::qcf::l:, land, j.:h::qcf:
, land, dash, :qcb::l::s:, j.
:h::d::h::s:, land, j.:qcf::l: (low as possible), land, dash, :qcb::l:, :qcb::h:, :qcb::atk::atk:
For smaller characters:
c.:l:
s.:h::s: j:m::h::qcf::l:, land, j.
:h::qcf::l:, land, :h::s:, j.
:h::d::h::s:, land, j.:qcf::l: (low as possible), land, dash, :qcb::l:, :qcb::h:, :qcb::atk::atk: