Welcome Johnny.
As Trevor said, ebony Timbermate is a poplar choice for grain filling and contrast. It's what I used on my TLA-1 also (SEE IT HERE). That link takes to you the Photo Gallery section of the forum where you can see others' finished guitars of same models.
As for cutting your headstock, I don't know that vice would be a great advantage. I'm not saying it won't work, I just think there are other methods that will be more stable. I prefer clamping the whole neck on my bench so that the bottom of the heel and part of the back of the headstock are touching the bench. Angled headstocks are a whole other animal, but ST & TL can be done this way.
You can use any clamp of choice (G, F, Quick-grip etc) provided it's large enough. You want to be sure you protect the neck at the contact points, and don't clamp directly on the frets. At least not too tightly. Too much pressure can bend the frets or cause them to lift at the ends. I've made little wooden blocks with saw cuts spaced to go where the frets are, and allow the pressure to be applied directly to the fretboard. You don't have to have those, it's just what I do.
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