Small flat towable trucks

We just traded our 37’ Everest fifth wheel for a 37’ Georgetown class A. We did not trade our 2002 F-350 with the 7.3L because we still need a truck once in a while and the dealer would not give us a proper trade. We don’t need an F-350 dually for our normal small tow jobs and we want to be able to flat tow something behind our Class A, so we are looking for a small truck that can be flat towed.

Our max weight is 5,000 so we are looking for 4,500 curb weight. Our research shows that the newer AWD trucks can’t be flat towed without an extra pump to keep the transmission cool. As we understand it we will need a 4WD with a shift lever to switch from 2WD to 4WD with a Neutral position between the two drive modes, and we have to insure that the neutral position completely disengages the transmission from the wheels.

So, can anyone help us make a list of the proper trucks to look for?

Thanks in advance for any help