2.7 EB SCAB 4x4 in XLT with the Payload Package, 300a, maybe 301a.
Reasonable comfort/amenities, price, heavier rear axle compared to non PP(9.75 vs Super 8.8), would have load C LT tires from the factory.
I would say this is your best mix for an all around truck. Unladen fuel economy likely to be in the higher end for the bajillion F150 configurations. At least 7000lb towing, base payload around 2200lb.
If you really really need the payload, 300a or 301a SD in a SCAB 6.75' bed. With the 6.2 to save money, it's adequate and reliable. You really want the power pay extra for the 7.3 and get the ten speed transmission with it.
Deal with the unpleasant daily driver aspect as a trade off for capacity.
If I wanted a daily that wasn't also a fleet truck (I am in HVAC) but had to tow something near 10,000lb a dozen times a year I might consider a properly equipped 3.5 EB, ie a lower trim to keep the payload reasonable, with proper towing packages, 3.73 final ratio etc.
If I had to tow near 10k on the regular, I'd consider the trade offs for a super duty.
You can't have everything in one vehicle, you have to choose your main use, and realistic possibilities.
Can you drop some weight from the vehicle for times when you need to haul something heavy? Do you need larger than OEM tires? Do you need a heavy steel bumper? How often are you hauling enough sheets of plywood that you are worried about the weight??? If it's once or twice in your life take two trips as others have said or pay a delivery charge. You are taking about a 50k+ truck, and factoring in at most hundreds of dollars for a material delivery or a second trip burning gas.