PC amber LEDs already has CIE coordinates pretty close to HPS, at least, to pure HPS lamps (not blue enriched, the ones you are calling with a pinkish tone as compared with the typical streetlight; or maybe you are refering to a near end of life HPS bulb, which tend to get a very noticiable pink tone).
PC amber Rebel has bins color between x=0.55 to 0.581 and y=0.411 to 0.437. Roughly, center on bin area at about X=0.565 and y=0.423, for CCT of 1900K. They are binned at Tj=25ºC, but at the normal higher operating temp, they tend to increase y and decrease x, driving CCT up.
Most HPSs has CCT between 2000 and 2400K, with x between 0.5 and 0.55 and y between 0.41 and 0.44. So actually, overall tone of normal working PC amber LEDs is very close of that of the warmer HPS.
Just getting a batch of PC amber LEDs with slightly lower phosphor concentration, allowing for a small peak on the blue, would allow to a CCT on the same range than HPS, with similar coordinates, and a little less phosphor, close to the pinkish HPSs, which are over 2500K.