This is a professional inquiry, so you really should be asking professionals like SkyWest (I know you tried) and AeroData, not some randos claiming to be pilots on APC.

That being said, it's also possible that the limiting factor here is single engine performance. And, if my calculations are correct, the slatless wonder will barely climb with one engine in your requested conditions. Like, in the realm of 100 ft/nm, if not less, kind of climb. If aerodata can create a single-engine procedure that can keep the aircraft clear of terrain with that sort of climb gradient, then maybe. Depending on the airport, it's possible that there already ARE special single-engine procedures, and changing the published instrument departure may or may not change that.

Please do not take my ballpark 100 ft/nm number as a target number for any departure. Calculating climb performance is a very, very complicated process, and you should get a professional evaluation from professionals before spending tax payer money on anything.

The 200 is also kinda just an underpowered jet in general, so not likely that your limited performance improvements will help that much. But that's just my 2 cents.