Matching putter type to stroke shape isn’t a great fitting strategy. In fact research indicates that how you “release” the putter is much more critical. Bottom line: If the putterface is square to the target line at impact it doesn’t matter what it does during the rest of the stroke. Selecting the correct hosel can make all the difference here.
Among those I’d start by looking at models from Bettinardi Evnroll SeeMore Happy and Bloodline. Each of these companies make high-quality products at varying price points. Furthermore they can perform exceptionally well provided you find one that fits your stroke eye and feel preference.
Companies like Odyssey Ping Scotty Cameron and TaylorMade produce fantastic flatsticks But it’s also true that there are some smaller lesser-known manufacturers who also make some really terrific putters.