Does the ho unit as a whole, remain cooler in general by any chance? Or is it a just as hot tot?
Ive seen it done in battery toys with some finer wire to stay cool enough for cheap plastic. (used water and vegetable oil as fluid.... and smoked after storage, ran dry ok, etc. )
If you ever do need a small remote mount, silicone pill/coin cases I tried can take the heat of an element without issue and provide a fluid well. It's slip fit top to base seal is resistant to leaks if filled high. (might weep a half-drop or so; I've seen weepier new) Pw disc elements fit perfectly. About the size of $1 in quarters.