Haha.
I think the way that "left-handedness" is determined is a bit suspicious, being the professional sociologist that I am; as in "oh, your write with your left hand? Well, you are left handed". At that point, the die is cast, and every other behavior in life after this initial, rather arbitrary judgment is based off of this early determination.
In my case, I broke my right shoulder when I was being born (almost 11 pounds!), and I perpetually favored my left arm until I was two or so. I write with my left hand (and my handwriting at 37 is at the level of an 8th grader; just ask my students!). I can throw with both hands. I switch hit. I can golf both ways (badly) as well, but for the life of me, I CANNOT play a stringed instrument "right handed". The pitch of the notes go in the wrong direction relative to my body, according to my brain. As I have posted before, I tried very diligently to be "normal", but it was a losing proposition.
I really do think that handedness is, for each individual, on a spectrum, and as such, it really isn't that a)helpful or b)encouraging to newbies (of which I still am) to say "you should just learn right handed, because I write/throw/bat/spelunk/shave/shear sheep/etc. lefty, BUT I can play bass righty just fine! Why can't you?" Not applicable in my case (i.e. lack of talent), but how many talented individuals get dissuaded by this attitude?
In that spirit, I really am enjoying my Engel EM-1 lefty ($1370), and, as the good Dr URB recommends, aspire to a beautiful Upton Hybrid lefty at some point in my life.
If the OP wishes for more info, feel free to PM me. I will even post a pic. Whee!! Such fun!
Thanks,
Brian
p.s oh yeah, I really don't think Engels are an Eb neck, unless my newbie-isim is causing me to miss something important. On my bass, the first note on my G string that happens when the heel begins is a very clear D. Please, correct me if I am not getting the concept of determining neck type.