No the easiest way is to feed the CU for the heaters via the main (switched) contacts of the time switch.
The OP also needs to look at his electricity bill to see if he is still on an E7 tarrif. Hopefully he is(*) and essentially all that is required is the above wiring change at the board and installation of new storeage heaters. New high heat retention heaters will need a permenant supply but with two rings and three heaters that should be possible to derive from the rings. I suspect one ring is kitchen and the other rest of flat. Put one heater on the "kitchen" ring, the other two on the "rest of flat" one.
(*) All consumption during the off peak period, that the meter still "knows about" from the time switch, will be at the lower price. Without the large heating load this isn't likely top be economic, broadly you need to use 2/3 of your total consumption during the off peak period to break even on E7.