Remove the engine from the car. You will then have adequate room to reach the drain plug.

Sorry for my sarcasm. I agree with you, it's a poorly designed system. I finally got mine removed by using a big screwdriver, but it was a hassle.
The first car I ever owned was a 57 Chevy. There was enough room under the hood of that car to put a human body in front of the engine, and still close the hood. Now I can't even put my hand under the hood. On the bright side, the '57 got about 10 mpgs, and had a top speed of about 70 mph, even with a 283 V-8. I guess it's a tradeoff.