I wish I knew you'd be willing to part with your EB2 before I decided to sell mine.
I had a lefty Warr Guitar 10 string for a while and eventually sold it. It was daunting and I simply didn't have the patience to stick with it. (Hell, I'm still learning to play bass correctly after 25 years,
). amazing instrument, though. Being lefty doesn't really matter on these instruments anyway, especially if you're new to the world of tapping, since the majority of them are set up with inverted string sets anyway with cross handed playing favored and you'll have to teach yourself how to fret inverted strings anyway (Though Warr, Krappy, and Mobius will set up an instrument in any string configuration you desire within reason; Jim Wright, an amazing two hand tapper, plays a Warr Guitar with all ascending strings, configured with strings on bottom and bass on top. Check him out:
http://www.youtube.com/watch?v=FfsTDgUVwjs). Keep in mind that once you settle on a specific setup, it can be very difficult if not impossible to reconfigure for a different setup later without spending a small fortune. My friend owns a righty Stick, and I actually play it better than my lefty Warr because the bass strings are not inverted when holding the instrument lefty. My mind accepted that easier than having them upside down with treble/guitar strings right side up. Chapman's instruments, in specific, do not set up as well for a lefty as they do for a righty due to the fact that the PUP used is angled into the body. Flipping the PUP would mean a different sound/voicing, since coils normally assigned to bass sets would be closer to the bridge and visa versa for treble sets.
If you're simply starting out and curious about these instruments, your best bet both cost-wise and in terms of getting virtually any string configuration you want is to look into either Krappy Guitars or a Mobius Megatar. I would also consider just getting a righty Stick to see if the setup works for you. At least if it doesn't you can always resell it for decent book value.