According to the 97-99, 2000, and 2001 parts catalogs:
Part number 4854102 fuel rail was introduced in 1999 but was changed to part number 5014496AA for 00 and 01.
The 99 rail had the replaceable damper, part number 4591520AA, and the 00 and 01 had a small non-replaceable damper. I got the 99 damper part number directly off the damper (on my bench). The damper part numbers do not show up in the parts catalog.
Rail 4854102 only lasted one model year (99). I think the replaceable damper proved to be a flame thrower so they got rid of it in favor of the non-replaceable damper...who knows, it may have been just cheaper to produce the rail with the non-replaceable damper.
Part number 4854181 injectors were introduced in model year 1999, and carried over to later years. This part number was also used in many Chrysler vehicles. I don't think rail/damper design was based on injector function, in that the rail/damper design changed while the injectors remained the same from 99 through 01.
Edit: Forgot to mention that the 97/98 rails, part number 53030699, were used with injector part number 53030778. The lack of a damper on these rails may have to do with the type of injector used. I would suggest the use of a 00/01 rail, part number 5014496AA, with part number 4854181 (or their equivalent upgrades) injectors.