Not familiar with that side too much. But go to this site:
http://www.azmag.gov/Communications/publications.asp
Scroll down to the "MAG Regional Bike Map 2012" and download the pdf.
It looks to me like you're going to be near the New River MUP. Which connects to the Arizona Canal MUP. Or there are lots of marked bike routes in your area.
If you're looking for something interactive, have you tried the bicycle feature on google maps? Get into the area you're interested in, select "get directions", then select the bike. A warning about it though. It seems to be hit and miss. Sometimes it misses obvious routes and other times it points to what I consider unsuitable routes. So if you use the google bike map feature study the satellite pix carefully. Good riding.