Like I said .... why skinny ? how about a High pressure casing .. there are those for the X stunt BMX and ride on the side of the tire trick types ..
you say : Mostly to keep my setup fairly fast... I always hated the bogged down feeling of wide and/or knobby tires. Though looking into it I may be happy enough with a slick 1.75"...
Try a 100psi high pressure capable tire ( it wont be a Knobby tread) ..
with a heavy load, at a higher PSI in the tire, wont compress much so contact patch stays small.
rolling resistance stats low ..

good luck stopping a fast moving heavy trailer load