Just bought a low miles 82 300SD

It has a bad vibration that feels like it's coming from the left side of the front end

It is hard and regular, also very fast. It's somewhat like driving on the bumpy part of the highway when you start to go onto the shoulder, but not quite as loud.
Only happens at high speeds, hardly noticeable under 55. It mostly only occurs when the wheel is turned (even slightly) to the left. It's worse under harder acceleration, and barely happens when braking.
It pulls very slightly to the right.

From a brief look under the car with just my cell phone for lighting, I could see that the rubber on the lca ball joint is ripped. The right one looks worn but ok. The inner half of the right tie rod is coated in oil. No obvious damage on the rest of the rubber parts.

I'm planning on getting underneath the car tomorrow in the garage, but I only have a very limited amount of time with this car before it heads down to California.

I don't have very much experience with front end problems, but from my understanding of the ball joint it doesn't seem like it could cause this bad of a vibration?
What is the most likely culprit here?
Are there any other good ways of diagnosing problems with front-end components?