Alford is just over the hill from there, so your looking at the upper Don beats, Have a look at Fishpal.com you will be able to get tickets from there for some of the beats but not all of them, but if you do a little detective work you'll be able to find other beat names and where to get the tickets, Then Google maps is a good tool, oh and fishpal will have some beat maps as well,
Once you know where you want to fish, pop back on and you might get some more info on the beats from other peeps on here,
but Kemnay, Fetternear, Manar, Alford are easy reach from Torphins but then so is the Dee, again fishpal for research
hope that helps a little
Colin