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DGA Breaker fits the description of what you are looking for.
I've thrown most of these shallower putters but find I still have a nice gap between them and my midranges. For instance understable putter to mid say (Deputy to Tursas) is a good 25-30 feet. I don't throw my putters real high though either more of a line drive so it's probably the lower glide creating a gap.
I could see if you throw higher the putters could go about the same.
C-Line Infinite Tomb is my goto for a glidey, turn-resistant, low-profile putter...doesn't really turn and has some fade even on a full power throw.
The innova rat is thin and flat and feels great in the hand. Reminds me of a small diameter Mako3.