Tropicbreeze~
Most of the modern hybrids (except for the cybister group) are evergreen and don't need a leafless dormancy. Just a rest which they will naturally do from time to time. The cooler temps are to help the flower bud develop.
I wouldn't put any hippis in the household fridge-- just too cold. If you have one you could put at 55F-60F, that might work, if you are unable to put them in a sunny cool room, green and growing.
And H. papilio is one truly evergreen type that really doesn't need much cool rest. They tend to go into a forced dormancy for some people in summer, but that may have been due to being too dry. They lose most or all leaves. They come form a mountainous part of Brazil that is fairly tropical-- meaning that they really never experience much coolness. And they are either getting rain or in the dry season when it doesn't rain, they still get moisture from the constant condensation dripping on them from the passing cloudcover.
Mine received enough coolness (if it is truly necessary) as the summer ended and fall began to bloom starting in December. When it got too cold outside, I put them in a sunny window. If they are resting- that is not in active growth, I let the soil surface dry a bit, and water in an appropriate amount with no fertilizer.
Keep this one potted up and growing for sure if you can.
