First you have to understand a expansion tanks function. When new codes forced us to install check valves and backflow preventers, such as you just described , on water service lines that it could no longer expand back along the water service line and would build up pressure in the system this would kick off the T & P ,(Temperature and Pressure Relief) valve and the valve would discharge hot water out the relief line. To prevent this we installed a Expansion,(Air) tank,(see image) on the heaters cold water supply line for some place the water to expand to..
how long do I have before I damage my brand new unit?
The most that can happen to your water heater is that the hot water expansion will cause the PRV(pressure Relief Valve) to open up and release water. Your heater won'tbe harmed. As you can see by the image cut a tee into the cold water supply and connect the expansion tank to the tee.
Good luck, Tom