Solution apparently found :)
Went to a massage therapist this evening and had a good massage that focused on my hamstring. He did not think it a good idea to do a full deep tissue massage, though he did do that along with other things.
Apparently my hamstring (the one with the word bicep in the name) wants to enter a rock and roll band because he said it is tight enough to get a tune from it. Joking aside, he said that my hammie is so tight that it is probably trying to protect an injury such as a microtear or something of that nature.
It feels better already, though it is still quite tight. He gave me some stretches. I will still stay off the bike for a few more days and stretch/ice. There is inflammation, which is what the warmth is from. The sorest place he found is where that particular hamstring attaches at the top, though there is another sore place in the middle of the hammie in the middle of my thigh.
I do feel better about the whole thing as there doesn't appear to be any real damage. Part of the tightness may well be related to the height of my saddle - it isn't high enough - but I am just speculating here.
So stretch, stretch, stretch, and when I get back on the bike this weekend I will take it quite easy. Really.