A well mooded kimimaro could always end up the last to die in your team, surviving against blitz etc. (Unless the opponents power is way higher) You can try a team that uses mifune buff-removing mystery to inject immobile etc to the opponent, especially against root teams. A more common ninja used with him would be KK
Gaara (which also have a field that buffs him) but since you don't have him, something like kinkaku or ginkaku or anyone else could work.
Sasuke works well against kage barrier ninjas, especially if you have generally low initiative. I personally use him quite a fair bit now, but haven't seen much people use mifune and sasuke together.
You can try a blitz team without barrier, which follows up on mifune second round. That could be a viable option for you.