Darn, I hate to be contrary but.... I started my first tank as you describe, with sand and live rock, but on my second tank, much bigger, I started with the rock, supported up on a platform and as detritus formed siphoned it out. It didn't speed up the cycle, but I have never had trouble with cyano or algae in the tank. All that detritus from the
rock curing (and let me tell you, don't believe that "cured rock" jive from the lfs. Some is just a little farther along than "raw") wil fall in the sand and be more difficult or impossible to remov, contributing to problems later with algae and cyano. After the tank cycles and the detritus has stopped falling out, then put the sand in and you will have a lot less trouble. Other than that, sounds like you are on the right track. I've seen lot's of nano's with no fish, just inverts, and they are too cool.
If it's just aragonite sand, just pull it out and dry it and put it back in after the rock cycles, no problem.