"Trouble is, if you don't know the hired coder, how do you know he's not programming back doors?"
Even if you know the programmer, the same question can be asked.
Your code is probably not very complicated. Code auditing can be very expensive.
You might consider going to a University and contracting a graduate student (usually there is a job board or general message board) with 1 year proven experience in the said language. Get a CS grad student and you should be OK. Make a contract in your favor if you want, which should financially protect you should this student do something malicious (doubt it).
A web site design group would probably be willing to look at the code.
Other than that, you can hire programming groups or individuals based on recommendations.
What brings this up? Have you had any grounded suspicions?