I would put another digital thermometer on cool side to check the ambient temp, 78-82 is recommended. The lowest you would want to let it go would be 75 IMO, 74 would be ok but I personally wouldn't let it get lower than that. I agree to feed in your snakes regular enclosure. Like AX01 said, moving to a separate enclosure may be stressing him out plus the stress of moving a snake after a meal can cause a regurge and I wouldn't want to pick up a snake that is in feeding mode, much safer for both you and the snake to feed in regular enclosure.
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