I have a pair of right handed Blue/Blacks, Non-LE.
The Brunswick web page for this shoe,
http://www.bowlwithbrunswick.com/shoes/detail/tpu-x/ shows there are only right handed and right handed wide versions available. It also does not define the difference between the original and the LE version.
That said, have you looked at the right handed version. I needed different sole and heel for my right shoe, the non-sliding, the push-off shoe. The heel is the same for the left and right foot. The sole is shaped differently, though. I strongly suspect (Although I do not know for a fact) that the left handed version has the same shoes as the right handed one, with the only difference being the shape of the soles that come with the sliding foot.
I think you should investigate this further and save yourself a lot of hassles and disappointment. I mean if you only have to buy 2 or 3 different soles to make a right handed version into a left handed version ...