The old 11-87s and 1100s were indeed a little too thin for d&p. I too have a 11-87 compact, but I don't know if Remington has beefed up the receiver in recent years or not. I would expect not, it is probably just as thin as the old ones. Williams Jigs actually have a note about not d&p on these receivers.
In your case, here is what I would do:
Take the plate off and score the bottom of the plate and top of the receiver. A dremel tool works good, only go down a few thousands, if it's camo the depth is going to be hard to judge once you get to the metal. Usually an X shape on both receiver and base work well. Then use marine epoxy to adhere the two together and tighten down. Mix epoxy and make dry runs on scrap metal until you get a fill for the stuff. Make sure not to get any into your holes if they go all the way through the receiver. If your's is camo like mine you'll probably have reservations about doing this, but it is what it is at this point and if you do it right you'll never notice the modification.
From an engineering stand point, as long as you have a few rotations of bolt engagement you should be ok with the Burris FF on top as it doesn't have as much mass as say a sluggun scope. Big Mass = Big Inertia = Big Shear on Small Screws........... (yes I am a degreed mechanical engineer before the forum police bash me and I have to defend myself...).
