My pleasure. Actually, I was looking for solutions of that type while I came across the channel estimation methods. I cannot think of any phase rotation compensation method that does not make use of some type of channel estimation.
I myself came up with some method using input data information for phase rotation compensation (where the channel estimation is not used), but my supervisor thought it was not practical since the input info is not available at receiver. Anyway, I only wanted to replace it with manually having to change symbol rotations.
Regards