I'm not even sure I'd "rinse" it... but there's a few things that go into the equation... Rinsing will probably necessitate a cycle...
How far is the move?/How long will the sand be without water?
How big is the tank?
What type of system do you have (FOWLR, FO, Reef?)
For instance: I've moved my FOWLR 20g (to my classroom) from home. Drained to the sand bed (2 5g buckets w/lids) keeping 5g of "top water", put live rock in a bucket with old water, sacrificed shop towels to put on top of sand so any chance of a little sloshing would not disturb the sand. (Because I disturbed the sand bed so little, I greatly reduced the chances of a cycle later). I moved the tank to my classroom, refilled with 1 5g bucket of old water (about 30% old water), tossed the water of LR bucket but replaced the aqua scape, filled with pre-mix new saltwater (66% new), added fish, and hoped for the best. The fish showed very little to no signs of stress. The whole process was less than 5 miles and down and up within 2 hours. I did 32oz (big gulp) water changes weekly for the next month. My advice... don't disturb the sand (unless you want to wait out a big cycle... less disturbance = less of a cycle).
Things might be a little different if it were my 72g reef tank, but given circumstance that I HAD to move it, I probably would do the same with a little more precautions. It's the LR and sand that have most of the bacteria content that synthesizes the water cycle, and as long as the LR is kept wet in salt water and the sand is disturbed minimally, you reduce your chances of a big spike.
