I agree with jxk.
Starting your join from 2000ft overhead means that you'll be flying a similar path to all other aircraft who might also be joining. So assuming you don't bump into anybody in the overhead, you shouldn't be conflicting with anyone through the rest of your join.
If the standard proceedure at an airfield is to join overhead, and you decide to join on the deadside, chances are you wont be descending in the same profile as people joining overhead (because you'll have started at a different point). So in this scenario there is every possibility that someone joining from overhead could descend into you when you are deadside (if you were sufficiently low not to be seen).