The method from Moon & Dworetsky sounds pretty straightforward - the only problem is one ambiguously named coefficient - c(0). The coefficient listed in the Stromgren catalogs is called c(1). Stromgren 1966 talks about normalizing his colors to Vega, but doesn't explicitly say if that's where he gets c(0), nor do any of the papers I've read actually give a value for c(0). I tried using c(1) in my calculation on a star for which I already have Teff and logg info from, and I seem to be in the right ballpark, but my numbers are definitely off.
In any case, this only applies to five stars, so I'm going to set this aside for now and focus on plotting Teff logg isochrones.
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