I suppose you can have multiple accounts, no?
If so, you could have x accounts brewing, each reaching the 1,000 limit after y hours.
Also, it depends on the subject, if your account deals with money, e.g. stock investing, I suppose that 1,000 followers could mean a lot more money than an account that deals with jokes, for example.
By the way, is there a software that will post for you automatically from a text file you create, i.e. 1 post every m minutes using a line from the text file? And if there are 1000 lines, then it will post 1,000 posts in 1000m minutes. So if m=1, it will post for almost 17 hours.