Since you have a float on either side, I'd just put out fenders (or fender the float if that's permitted) so that you land on whichever one is easiest. It's a simple matter to tie the boat from the other side once you're stopped...
And.. have you considered tying the boat from both sides and keeping her 'suspended' between fingers to utterly eliminate fender rub?
1984 Fast/Nicholson 345 "FastForward"
".. there is much you could do at sea with common sense.. and very little you could do without it.."
Capt G E Ericson (from "The Cruel Sea" by Nicholas Monsarrat)