I had that exact set up for years. My compressor was way older and was passed from vehicle to vehicle and I finally replaced it this year.
Tank. I use to run a tank but unless you have it for air lockers, it doesn't have anywhere near the capacity for it to do any real good. I haven't run a tank, forever.
I plumed my air hose down the corner and out to a fitting on the bumper. The braided line ran to a square manifold with a 90 psi cut off switch mounted just above where the compressor is. The switch controlled a relay and the relay controlled the compressor.
The braided hose can get quite warm. I'm sure it wouldn't burn anything but i spaced it above the wood. when I mounted it to the air block. I also ran air brake hose for the feed to the outside.
About that compressor. I bought it when they were first released. I cant tell you how many years I ran it but, it was alot. I finally wore it out. Talking to the VIair rep at a show, he was impressed on how long it lasted and said if I send him my info later, he would put together a rebuild kit if I wanted. I opted for a new compressor.
I have the trim panel installed so you cant see it. The heat from the compressor has never caused any issues.