20 gallons is way too small for 8 fish, especially when 4 of them are tangs. Alternatively you can use big rubbermaid bins as a cheaper alternative.
Sponge filters ar recommend over powerfilters typically, though to my knowledge the bacteria in a freshwater system are similar to the saltwater and should work. Plus freshwater diseases cannot effect marine fish. If you're overly concerned, use the filter, and use some media from your display for bacteria.
As for time, while ich is not as deadly as other parasites, it can still be fatal. You'll probably want to start as soon as you possibly can. The hard part will be keeping the fish happy while the display waits out the fallow.
The snails can stay in the tank, as with all other non fish life forms. The ich life cycle requires a fish at one stage. Without fish, it cannot reproduce, and will eventually starve out.