"How straight is a typical crankshaft? If I were to spin a crank on one of the inner main bearings, how much should I expect the unbalance to change?"
Ooer, don't know. I don't like the sound of that, but you are right, logically it should be OK, up to several thousand rpm anyway. I have a feeling we support two mains at each end, that may be to prevent the drilling machine from bending the crank. Ouch. Now I'm wondering if we balance between centres and just use the bearings as static support (it has been 12 years since I worked on that machine).
"When balancing a drive shaft, Is the shaft under tension?"
No, I don't think so. Oh, it might be a bit, if you have 2 UJs depending on how the flanges on the UJs are clamped to the chucks. Ours aren't, they have a slip yoke at one end so you can't really apply any longitudinal force. Inside the back of the flange on the UJ is a circular recess, this is the reference centre for all the assembly and balancing ops. It mates to a boss on the pinion flange on the diff.
"Where can I sketches or dwgs for the tooling? I'd love to give drive shafts a spin

."
Pay a visit to your local driveshaft balancer, our backstreets are full of them (slight exaggeration). The production machine for balancing driveshafts is a big hard bearing unit. I think it is made by Schenck, most balancing gear round here is. Our post-assembly rig is soft bearing obviously.
Cheers
Greg Locock