Gosh, guys, you're not being nice.
OP, here's what you do. First, go to the higher-ups, and tell them how unfair it is. Remind them that you're pre-med a LOT, so that they can be sure they know they're going to be responsible for the loss of what must be a brilliant future doctor. In addition, you will make them feel inferior since you'll be making twice their salary.
If they don't cave, don't give in. Sit in the middle of the floor and refuse to move until they let you drop the class. If that still doesn't work, start holding you breath.
If at this point security is on the way, no worries. Just make sure to call your parents and tell them what happened, so they can talk to the dean. Remember that mommy knows best, and when she fixes your boo boo, she can come home, make you some warm milk, and rub your feet until you drift peacefully back into your dreamworld, where you seem to be most comfortable.
If all else fails, you can man up and take responsibility for your actions. This isn't about fair. It wouldn't be about fair even if they didn't let you drop after the first day. The best you can do is work your ass off and salvage whatever you can out of that grade, regardless of how "stupid," "useless," or "******ed" the class is. It's YOUR GPA, and whatever happens to it is YOUR responsibility.
[/rant]