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This is probably way out in left field, but you can get a '94-'96 Chevy Caprice sedan
with 5.7L engine and it will tow up to 5000 lbs. I have a '96 Caprice and recently averaged 28 mpg on a 1100-mile trip. I've also towed our 4000 lb camper with it (only gets 13 mpg when towing). The reason they get such good highway mileage is they're much more aerodynamic than a truck and they're geared very tall.
The standard gear ratio is 2.56 and the "tow package" gear is 2.93. You don't need the tow package to tow 2000 lbs, though. They're pretty cheap now too.
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Daily driver:
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