Seems like you have pulled them out of the water before...but often times there is no way to pick up a medium sized one. They have long necks, sharp claws, and tail that pulls your hand into the jagged rear of the shell.
I've lived around snapping turtles my whole life, I know how to handle them. The young ones(Hatchlings) you need just a thick set of gloves, hatchlings don't bite. The others you need a broom handle, welder gloves long sleeved shirt and two sets of hands to move.
my parents house has a river running through the back yard and it was common to see the gigantor snappers 2-3' dia. One time when I was a young lad, we were golfing in the back yard and the ball went like 5" from one. So I tried to get it with the club and that sucker chopped the shaft in half no joke!