You say that your RO/DI unit is not making "much" water. How much exactly, is much? Are you sure it's hooked up correctly and operating correctly? As someone noted earlier, is it just old membranes? It doesn't make much sense to buy a unit and then toss it if it's just an issue of it not being hooked up correctly.
You can't use an RO/DI unit like a tap... unless you have a storage tank. We're talking "gallons per day" for RO/DI units. Seems like most do at least 50-100 gallons/day and that seems like it'd be enough to deal with top off issues.
As far as making your own distilled water, I suppose you could. They actually make small distillation units for the home - my mother-in-law has one for drinking water. Don't remember what it cost her, but they're not cheap. I'm sure an RO unit is cheaper. As far as boiling off water yourself and catching the condensate, I think you're looking at a much slower process than RO, not to mention all the electricity or gas you're going to pump into your stove to boil a ton of water! How about just buying distilled water in those 5-gallon containers at the supermarket? Seems like a lot less of a hassle, and not as likely to burn down your place from leaving a stove on all the time!