The Remington R3s should fit your synthetic stock with no issues. If your BDL stock came with an R3 originally, it should fit that, too. If the BDL came with a buttplate or regular rubber pad...the R3 probably will not fit. Buttplates and rubber pads are ground to fit the stocks. Since R3 pads don't grind worth a crap, Remington makes the stocks fit the pads. If you really want an "R3" pad...Limbsavers makes a grind-to-fit pad out of the same material. I tried one on my stock and didn't think it looked very good. The recoil absorption was great...it was just ugly as homemade soap. So, I went with a Pachmayr Decelerator and am very happy with it. Anyway, good luck. Let us know if you have more questions.
Jason