Hmmm, I really don't know how to notate it for you otherwise I could put up a whole few sheet-fulls of paradiddle/diddlediddle/double diddle etc etc etc, that I've written out over the years.
I guess a couple of simple things to start with that will at least give you some good ideas to work from are the following (now I've just got to figure out how to make this work):
Ok, so the sticking for all of these is just a straight paradiddle right? RLRRLRLL so I'm not actually going to notate it like that. I'll just put S for snare, T for tom, F for floor tom, B for bass drum and C for cymbal and bass drum together. It might make it hard to read though. I'll give it a shot eh?
TSSSSFSSTSSSSFSS
RLRRLRLLRLRRLRLL
Actually, that makes it easier right?
CSFFSTSSCSFFSTSS
RLRRLRLLRLRRLRLL
FSSSTFBBFSSSTFBB
RLRRLRBBRLRRLRBB
Try those on for size and it'll at least give you a basic understanding of ways you can incorporate them. Start slow and bring it up slowly. Don't accent any notes at first. Keep it all sounding as even as possible. Have fun!
lol! I just went and had a bit of a play with some paradiddles after doing those. Here is another nice sounding one:
FSTTSTSSTSSSSSSS and repeat FSTTSTSSTSSSSSSS. You can also simply replace the last two notes of every bar (each one of these is written as one bar of sixteenths) with your bass drum to give another nice sound to the phrase.
This one is also good: FSSSTFSSTSTTSTSS and repeat. The middle two snare notes, after the first TF, sound great replaced by a bass drum as well. Give these a go.