John,
We used to have a little policy of "if you have to ask, it can't be done!"

, but this is interesting. The audio the tech is speaking of is actually pulses which are a result of the mixing of outbound microwaves vs. incomming. The counter unit counts these pulses.
However the pulses coming out of the unit are quite small in amplitude and need to be amplified, which is done in the counter unit. If you wanted to send these pulses via the wireless link, you would have to boost the pulses to TTL levels (0 and 5V) first before sending to the TX. Then on the RX end, you shouldn't need to knock the level back down. You will also need to power the hand-held unit seperatly.
I can't really tell you how to hack the kit up, but remember you will be voiding the warranty.
-Mark W.