Check out the Guides in my signature on live rock, cycling, and hair algae. It usually takes about 6 months ime for the base rock to blend in with the live rock. It takes about one year for the anaerobic bacteria to fully colonize the base rock. However, for all intents and purposes you can consider base rock to be "live" rock after about six months. The amount of biological filtration you have will be much lower by using so much base rock, so you will have to stock your tank a bit slower than normal. Joe's Juice works really well on aiptasia. Just be sure to turn off all water circulation and get the juice right down into the mouth of the aiptasia.
It sounds like you're off to a good start!
