I was thinking of treaps;
I keep trying to find a use for treaps, but haven't had a project that needed it. In particular, the value of a balanced tree is in consistent cost of lookups for arbitrary elements. But if you are mixing entries that are accessed often with those that are not, having an 8:1 access time ratio between the two would be a feature not a bug.
edit: looks like at least one other has has the same idea https://github.com/lthibault/treap