@Brian Risi even if $1k will generate one good lead, I'm skeptical that you could close a deal in that budget. Could you get a $10k home equity line of credit (HELOC)? Borrow from your 401k? I feel like you'll need more than $1k for closing costs, documentation fees or lawyer expenses.
Stamps are $0.49, printed signs are about $20/ea. On that budget, I'd skip the extra phone line, website and probably signs. (Disclaimer, I'm not a wholesaler.) Here's part of a plan... Develop a relationship with a real estate agent in order to gain access to MLS listings. Use Zillow and MLS searches, over the course of several weeks, to refine your search to a particular target neighborhood (100-250 homes).
Some of the podcasts say it takes ~8 contacts with an individual in order to make a good connection. With a target neighborhood, judiciously use your budget to send mail, make phone calls and go door-to-door. Maybe put your signs (legally and unobtrusively) at the entrances to this neighborhood or nearby. Structure your budget to meet the number of contacts per home.
Fwiw, there's some guidance on finding a seller. Finding a buyer is a different challenge.