Although I have not processed color in many years, just seem to be less grief and costley to have color process by pro lab at least for me, I would rinse the drum in hot water to bring the temp drum up the temp of the developer. Living in Arizona I would also let the room temp get up to around 80, it seemed to me that the drums are thick enough to keep the chem up to temp. Or in a large tub you might be able to float the drum and rotate without getting water in it. All of the reasons I send my color to a pro lab. In other times when I processed a lot of C41 and E 6 I used hard rubber tanks in a temp controlled bath with hangers.