Yes. The CHE would go on the cool side to maintain the cool side temps between 24-27C. I think it's very likely that you will need the CHE, so I would go ahead and get the thermostat capable of regulating two heat sources.
Also, you should wait a bit before buying anything to see if anyone else on the forum has a different opinion. It's still early morning in the U.S., so most of our members haven't checked in yet.