Originally Posted by TexLaw
Without actually sampling the beer, it's about impossible to say what category it may do well in. I don't know what you mean by Lawnmower or EIS Anything when it comes to BJCP catefories, though.
Those are probably special categories specific to the competition he's planning to enter.
While I don't recall which one offhand, one competition that I looked at had a category EIS-anything, into which you could enter an eis-version of any BJCP style (eisbock, eisweizen, eisbarleywine, etc.) To the OP: we can't really tell you whether an eis-version of your beer would be worth entering in a competition; you'd have to do the freeze-concentration and see how it turns out.
As for "Lawnmower Beer", I don't know the exact guidelines for the category, but in general parlance it would generally mean a light, refreshing beer that would be perfect for drinking while you mow the lawn on a hot summer day. In my opinion, a beer that would do well in 10B would probably be a bit too heavy to enter in this category.