How old is the truck? That would determine if pulling the bed would be easier or not. Guessing by the symptom, I'm going to say it has a few years on it and that pulling the bed would be easier. But weird things happen, thus the question.

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Sgtsandman's Work in Progress
2011 Ranger XLT, 4X4, 4 door Super Cab. 4.0L, 5 Speed M50D-R1HD, 3.73:1, 8.8" open differential, Jason Pace cap
2019 Ford Ranger STX FX4, Super Crew, 2.3L Ecoboost, 10 speed automatic, 3.73:1 with rear locker, Leer 100XR cap