Shoebox ,shop compressor?

I used a Rolair JC-10 with mine. I posted an old video of them running together on YouTube. Look on EBay for a refurbished California Air Tools compressor too. The Rolair was actually made by C.A.T. as well. The F8 and F10 both are made for 125 psi, not 85 psi like the Shoebox Max. My Rolair is quieter than the F8 and with it's regulator set at 125 psi it easily kept up with the F8's air requirement without running excessively.
 
I'm looking at these so far
http://m.ebay.com/itm/DEWALT-D55146R-Factory-Reconditioned-4-5-Gal-200-PSI-Jobsite-Compressor-/282277786195?_trkparms=aid%253D222007%2526algo%253DSIC.MBE%2526ao%253D1%2526asc%253D20150519202348%2526meid%253Dcce4dedc974447bca665c4c53f5af4af%2526pid%253D100408%2526rk%253D5%2526rkt%253D25%2526sd%253D281840700934&_trksid=p2056116.c100408.m2460

http://pulsar.ebay.com/plsr/clk/0/SADS/9?pld=%7B%22mecs%22%3A%22182381774399ac525464e0d4457c95522c79780f6d8a%22%2C%22enc%22%3A%22AQABAAACgLmQa24OtTHRaocrSZUBEXessEZqSvIZVRimeq1TFkB6Z9GdrgT%2B6wu%2FT4j3G5aaH4blr4dquzw%2BxTRTkS2Wn%2FVxOSp8%2BhJltYsqhktp2JtP0DOJ5UASpkwUAUhb6IZqfyzZVY3gAbCDZVdzb2eyGERy5GuDZwfXceS2AbdrFWVvmQemDlPd3HZs5xRnByaTyNhJ3YJk8nByih56SMCydEyGJA8K949rsQryKIZMVH3Rmly4MDseRGb%2BnxG0IjhkTxbAcf7GOX8svGyLSB83zAO5j5yC2gmpM5vtWFLFkUTdSF5wGg7lkHfHfAq2YwdbKfdqokLjGY9zMWcIKvfiBgGJxT3B1PFDjsBuQlzDEq8ijgTtfoNtd5xL1j4MaX7G7wtIHahtfCvh3Adi8Ps3jvSoJ54115cQFZ3L363hdO7LXjE%2BXIai%2BcMs4unorpLGrBEPxg3tsJNk8Aai9QwKRAdeC%2F97MAsf3esWot6V6%2FAILv5BjQLyE16AzhsZpO3x9FHSlUEoFY8G6vZ0TIezp1s8sr5etFi9cqfsQWpIGRNVPIa1nCEyumW75ERUFYZla61WT7hfhOROlIwIpWDMtJ7j%2BTT2MnLGVe1fJzJdotUoTpcgSObNFiCrPuo34HOLHglLfx5Rx%2F9zIOUpJYhSmz4RawuHNzAMRoYfG3jJtkoA2MH3VmL%2FYzWIFpciT4opu3zsi4BIWIN%2Fagg8dROGU2eVqn8pkwXz0ULIqcNW%2B8RM83qrlanQk1Vkw7xtY34SDHB2leZddl34RpdimBtt%2BCNG4hju70cxwRkw77W79MvNqeqpi58FVsJ6tZ9TaVFhm8J3cgumTR0u1fccDYHp0OE%3D%22%7D

http://m.ebay.com/itm/Rolair-JC10-1-HP-Oil-Less-Compressor-/351790495482?hash=item51e858f6fa%3Ag%3AJXwAAOSwa%7EBYNels&_trkparms=pageci%253A500912f5-f256-11e6-872c-74dbd180f08a%257Cparentrq%253A3a458af015a0a5eb2203f1fbfff7232b%257Ciid%253A2

http://m.ebay.com/itm/California-Air-Tools-4620AC-4-Gal-Aluminum-Twin-Compressor-CAT-4620AC-new-/282120926014?hash=item41afb7b33e%3Ag%3Ac%7EIAAOSw-CpX%7EHz4&_trkparms=pageci%253A93c7735b-f256-11e6-8486-74dbd1e04f3a%257Cparentrq%253A3a4746e115a0a2af57744a51fff8ceed%257Ciid%253A10
Which one do you guys think?
 
Keep an eye on the max pressure listed in compressor specs. If it's 125 psi for example, that's the highest it gets, not the pressure it will maintain. The regulator will typically be set to not turn the compressor back on until some lower pressure, maybe 90 psi. Sometimes these are adjustable, but if your goal is to provide the ShoeBox with 125psi air continuously, you'll want to look at compressors with a higher max pressure, and hope the cut-in pressure is not much lower than 120 psi, or it can be adjusted ideally to 125 psi. 

I love how quiet those CAT compressors are, but there's only one 110V model that goes to 150 psi, and they don't specify the cut-in pressure (maybe 118 psi). Of course it's also one of their more expensive models.

http://www.californiaairtools.com/ultra-quiet-oil-free-air-compressors/2-0-hp-air-compressors/cat-15020c/

Cheers,
Rusty