One thing to consider is the amount of air flow you need to operate the cabinet. Your compressor has 175 LPM (6.18 CFM) max capacity. Also is the amount run times. I have ran oil-less compress much here as I have 25 gal 5 hp setup but I do have a smaller 10 gal oil-less; just don't like how noisy it is so I only use it if I doing a on-site job.
Now the cheapest blast cabinet I see Harbor Freight has here requires a 10 CFM @100 psi air flow rate.