A buddy uses a similar setup for a cnc plasma cutter, except his are VERTICAL so that condensate can't climb up n' out.
I would also recommend doing this before your filter, as it will force the moisture out of the air with cooling, so you're less likely to overwhelm your filter. Less moisture in the filter means less moisture out.
If you use copper tubing, reminder that there are three wall thickness pipes (that I know of) and I think they're , K, L, and M.
I don't know which is which, right off but this is not the time for Chinese copper pipe. There might be a pressure rating on the pipe itself.
