Work out how you are going to handle the paper prior to taking off the printer. Plan how you are going to hold the print as it cuts, and the route from the printer to the table. Get to know how the paper wants to flow, and work with it.
Typically I tape prints to the wall to dry them - four tabs of tape about 3" long, with an end folded over to make removal easier. Top two pieces are already at the paper width, and they get put onto a leading edge on the paper. then the bottom two on a tailing edge. This gives me space to dry the paper, and gravity helps to reduce curl. If I'm not taping, I make sure there is a reasonably clear route to the cutting table.
It's all practice, working with the paper and accepting that it will eventually not kink to your will. You've got some practice pieces waiting to be revisited (unless you did what I do when kinking prints - mutter, curse and tear them to shreds). I almost never print full bleed 44", preferring to have handling borders.