Yeah, if you can get things timed right you could probably pass on the heater. Not sure but I think 68 F is the coldest for weed. Or maybe that's just the ideal lights out temp. From what I understand if it's too cold the plant quits taking up nutrients. I've never had it that cold so no 1st hand knowledge.
The coldness of the room is only part of it though. If you want to be real accurate you have to go by leaf temp with an IR Thermometer. HPS you'll want a 77 F leaf temp which you'll get with a 77 F room. LED's it will require a room in the 81 - 83 F range to get that leaf temp.