I made some brackets for an 06 Chevy to run a York 210 where the second alternator would go. I hooked the clutch to an in tank pressure switch run from a fused auxiliary circuit.
This is the truly inexpensive way to do it, if we define dollars as expensive and time as inexpensive.
A York will run circles around anything 12V electric, take up less space, virtually never overheat and provide infinite air so long as you have gasoline or diesel in your tank.
If you can fab you could build up a York system for less than $50 assuming a York is free (they're all in older vehicles no one wants anymore and people offer me the complete vehicles several times per year) and a pressure switch.
For YEARS (and I mean years) I filled the 37's on my Bronco with nothing but a York, a dash switch and a coil hose.
I never even had a pressure switch or a tank, the ex-wife was the pressure switch. Seriously. Years we got by like that and it was fantastic.
You only need a tank if you want to run air tools (which, AFAIC, are now obsoleted by cordless tools) -- otherwise a York straight pumps plenty to air up tires in a relative hurry, even 37's on 15" wheels