Hi Maia,
I have vague memories of having done this once in the mists of time. As I recall the medley went from English to contra, starting with one of the swoopy stately ECDs, working to something more punctuated like Childgrove, a 'old style' proper contra chestnut and ending with some popular barn burner contra at the time. Worked just fine. It also dealt well with the potential issue of moving between proper and improper dances. The ECD was all proper so there was only one transition from proper to improper about 2/3 of the way through. The idea is well past due for a modern retake!
Greg