Cabinets arrived yesterday. I think I will likely just make the modification, and order new doors. Thanks to all for the education.Alot of the RTA cabinet dealers have a farmhouse sink ready sink base cabinet option if it's not too late to just order one. Alot less headache than having to modify a regular sink base cabinet. Just make sure they can provide the sink as well or specs for which exact sinks from other manufacturers will fit their base.
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Here's a Kohler Whitehaven:Kohler makes a short apron sink you just cut the top rail and a little bit on the sides.
That last one I did
I used 5/4 cleats into the sides with legs in the corners for support.