Whenever I sanitize my tanks I always just pump the water from the fresh tank to both the gray and black tanks. That way they get a bit of a cleaning as well. I let it sit there for a few days. Don't know if there is any umph left in the bleach.
I had a Lance camper for 25 years. I am so glad that my first sanitize of its tank was done in that manner. Turned out the black water tank's drain valve was broken - the handle could be pulled but the actual slide valve was not connected to the rod.
I had to take the camper in for warranty so they could replace the valve. Soooooo glad it was clean water in that tank.