Jim,
Is your 586 a no dash square butt?
Also you probably know the L frames use the same grips as the K frames.

IMO Herrets makes a very nice smooth presenatation grip with medallions for the money,
They make them for both K/L frames and N frame models ,
I have bought several pair like these on Models 629 MG, 686 MG, 19 Nickel,
They are excellent and wont break the bank either at $38 NIB from CDNN.


The two below are pre 24 and pre 27 N frames,