You will not fit an EVH D-Tuna on a Lo-Pro
Edge trem. The D-Tunas only work on standard profile Floyd Rose style trems. Fits on the Edge, I have one on a guitar myself.
Not too sure about the Floyd Rose big block, I'd be guessing no. Perhaps you can try and find one of the blocks off the Older Edges which are bigger. I have one on the guitar I have my D-Tuna on.