235 75 or 225 75 is probably about the thinnest tire you're likely to find, and they won't be any taller than your OE tires.
There is an option (if you can afford it) to get adapter plates made to run 20.5's with LP tires, which are close to OE sizes for many trucks. Best benefits are 100PSI tires and one set of tires for the rest of your life.
Drawbacks include poor snow performance. Not a problem in your case, really?
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