No reason to change racquets for a backhand. What's next, buying a racquet for forehands and serve? Playing with a serve stick and a return stick? Changing racquets when you feel like going to the net?
I have hit millions of onehanded backhand and never had TE because of that. I have had lot of golfer elbow issues but the backhand was always where it would hurt least, actually it would not hurt at all, even if I couldn't hit a serve without pain.
Also I can hit a onehanded backhand with any racquet, whether it is a mid, a MP, light or heavy.
If you really wanna change racquets, look for something that slices well, does not have too high a swingweight (310 to 330), and is headlight (12 to 6pts hl).
The C10 pro is a good candidate.
"Most of us believe in trying to make other people happy only if they can be happy in ways which we approve." Robert S. Lynd