Hi,
As you found out plugging them both in messes with the temps as they are different wattages.
Your best bet is a red incandecent light bulb attatched to a dimmer switch instead. This can be left on 24/7 without disturbing the snake.
That way you can dial down the bulb to get the cool end temps right and rely on the thermostat on the UTH keeping that at the right temp.
This will also extend the lifetime of the bulb as constantly turning on and off ( if used on your thermostat ) will shorten it drastically.
It also drove me nuts when I tried it - lightbulbs are best used with proportional thermostats rather than on/ off types. And pulse proportional will literally drive you insane with the on and off flashing.
dr del