Make a control sector. Make one linedef have a "Teleport Player to Tagged Sector" special (104) and a different linedef have a Trigger special (Continuous: 96).
The sector you want the player to use to be teleported must have:
-Sector type that can be any of the following from 967 - 975 (Trigger Linedef Executor; floor touch should work for you)
-Tagged with the "Trigger Linedef Executor" linedef
The sector you want the player to be teleported to must have:
-Teleport Destination thing
-Tagged with the linedef that has the special 104
That should work.