These are customer to customer forums and, while DH staffers occasionally drop in, they rarely answer.
It sounds like you have already discussed the situation with support, and they have told you how long it will take. With no other information from you, I don’t know what else to suggest.
When you say “get it started now” are you talking about obtaining a hosting account, registering a domain, transferring a domain, changing DNS, or what?
If you are waiting for your account to be approved, I know of no way to speed that process other than working with DreamHost.
It does take time fro DNS to update across the web for a newly registered domain or for a DNS entry change.
Maybe, if you provide more details as to what you are having to wait for, someone will have a suggestion but I suspect that if DH has already told you it will take “two or three days” they may well be correct.