$ 2 k will get you a real nice one.
I sold a couple older (70's) Miller TIGs for $ 500 each and they worked fine.
You should be able to find a real nice used one for $ 1500.00
I have a Miller Syncrowave 351 that is a great machine.
As far as TIG welding goes, Stainless is the easiest to weld because its such clean material.
Aluminum is more difficult because it's like welding on a heat sink. You will want around a 250 to 300 amp torch to weld aluminum with about a 1/8" tungsten.
Get a water cooled torch with a radiator cooling unit.
For welding steels you run straight argon gas.
For aluminum you can get a premix 75% argon / 25% helium that helps heat up the material a lot better than straight argon.
It takes 2% thorated tungsten for steels (red) and pure tungsten for aluminum (green).
Have fun.