What kind of coffee machine can process powdered coffee? I have a drink I like to make using powdered coffee, a coffee grind finer than espresso. but when I try to make it in an espresso machine, the powder expands, and only the first few drips come out. (its delicious) Then the espresso machine will nearly explode, as the heat builds, and the pressure cannot escape. 

what is out there for high pressure espresso machines?  I would also like to make a gaurana drink in a similar fashion, but I think it would be the same issue, with tiny particles expanding when wet, and clogging the holes in the press.

To be perfectly clear, I mean very fine ground coffee, which is in a powder, and not freeze dried coffee.
As far as I understood, such coffee is ground for Turkish. If this is the case, you may try to prepare your coffee in a pot. If you are really considering (somewhat) automated machine, you may go for Turkish coffee machines. Keep in mind, that they don't prepare coffee as good as an experienced human; but they are nice enough to drink. I put an image of one of those, so you can search it on the web.