I drive a straight truck that is under 26k so I don't have a cdl, it's possible but much harder than if you do have a class B. My truck has a 24ft box with a liftgate and I can carry 10,000 pounds legally, which is fine for a good percentage of loads, will you lose loads because of the weight, yes but not enough in my opinion to warrant the extra hassle of needing a cdl, apportioned plates and ifta.
One thing about an under cdl truck, you will have to deal with a small sleeper mine only has a 24 inch sleeper. Moving up to a 33,600 gvw truck will get you a much bigger one.
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