Bardack,
I,too, have a Paasche H, and it is definately a workhound. I had bought a blue testors compressor from Hobby Lobby, and it would not push the airbrush. And don't consider canned air, it is acomplete waste. You nailed it when you said these need alot of air. I run mine at about 25 psi, and it works well. What i had to do was go to Lowe's(Home Depot or Wal Mart will work as well), and I picked up a 2 gallon twin stack with hose, brad nailer and accessories for $80, but that was on sale. They normally go for $100.
Wal Mart has a 1 1/2 or 2 gallon WITH A REGULATOR for $65 or $70, has accessories and hose too. I did not connect the hose to mine, just ran the braided line directly to the compressor, and it has worked beautifully. It's alittle noisy, but with a 2 gallon tank, it is not always running. The things I would reccomend are a regulator, and as long as it is oiless, you do not need a filter. Best of luck to you.