@Jefe4x4: Another very good sounding and inexpensive possible solution. The fact that it would add insulation (I’ve already put more under the TC) is an extra plus.
When I have tried any of the suggestions to my question I’ll get back on how it’s working.
Right now I am leaning toward the blue foam you mention. I do have a bed mat already. I think the point about the cab being higher on Ford (mine is a 2017) may be really important for others.