I think you need to do a couple sales by yourself before thinking about outsourcing the work. Let's take a hypothetical example: you hire someone, she goes out and tries to sell your solution but fails. She gets back to you saying that your product isn't any good. How will you know whether that's the truth or whether she was a bad sales person to begin with?

This is why I would strongly advise you to try and close some sales by yourself first. In addition to this, going through this process will help you refine your marketing & sales messages and make sure they fit your target audience. This is invaluable feedback that you probably want to get first hand.

As for finding the time to do it, I'd suggest doing it in the evenings, or maybe taking unpaid holidays from time to time in order to work on your project.