"Need" is a relative term. You can tow any 5er with a short bed. What you may not be able to do is turn. The length of the bed, location of the hitch in that bed, cab shape, pin box offset and front cap shape all dictate what the turning capability will be.
A bigger safety concern is the payload capacity of your 3/4 ton considering your 38CK pin weight is over 2300 lbs dry!
BTW, I use the Progressive Ind. hardwired PMS installed using Turbs technique.
The recipe for perpetual ignorance is:
Be satisfied with your opinions
and content with your knowledge.