Well, there's a huge range from the smaller ones that are used to drive nail guns to larger shop units. Your truck will only provide 150W, which is less than 15A of current, through its inverter - the 110VAC receptacle on the dash.
I have an older air compressor, not one of the modern tiny units. It's a bit louder, but it will fill its 10gal tank to 120psi in about 90 seconds, and it outruns me - builds pressure faster than I use it when walking around the truck to top off my tires. The gotcha is that my garage is typical, wired with 20A circuits, and the compressor needs 30A to start under load or generate high pressure. At 120psi it pops the breaker, and if I try to start it when it already has 40psi in the tank, it pops the breaker. I ran a separate 30A circuit in the garage for it long ago, rather than get a less powerful compressor. There's no way it would run off my truck's power.
I would guess, though, that any
90+psi compressor with 3 or more gallons of capacity should be reasonable, you might have a short wait, but not a crazy one, for regen. Turn it on, wait for it to shut off at 80, and start filling. Most run easily under $300.
They also make
even smaller ones for trim nailers. About 1 gallon capacity and running on about 3 Amps. Don't know how this compares to what you have. You can get one of those for $150 or less.
If I only wanted the air compressor for pressurizing tires, I'd just fill them at the local gas station for a buck. Or some gas stations have air for free. At most, I'd spend $10 a year on air, and probably a lot less. But if you have any air tools or sprayers, then it makes sense to get a compressor that will keep ahead of your tools, and the tires are a side benefit. I bought my compressor at a farm auction for $20 for running grinders and impact tools. Similar new model would cost around $500.