ranger58sb
Guru
It is not the prop walk you are using, ahead on one engine and astern on the other puts a twisting thrust on the boat to move the stern in one direction, bow in the opposite direction, counter rudder then causes a flow of move the stern in that direction, so the twist moves the bow, rudder thrust moves the stern.
I've read some boats can do it... but I've not owned one. Big props, tiny rudders... almost puts it in the "marine myth" category.
...or sliding down the dock and quick maneuvering at the end.
I think OP said single-handing... and if so, that'd probably be the best I could come with for the situation.
Might be possible to gently move the bow away -- as prep for the final surge -- using some combo if reverse/forward while leaning the starboard quarter against a pile.
-Chris