im surprised no one has said this yet, so maybe its rare and not all phones have this problem/irritation.
basically the same thing started happening to me (by coincidence or because i just never was in this situation before? i dont know.), in the long run of trial, error, panic, and frustration i realized it only did this when the battery was below i belive 30-40%.. i dont think there is a setting to adjust this unless i did it in my sleep but it ALWAYS happens now when battery is below a certain level and never happens when i got 40-100% battery..
hope this helps, i use the 99c LED for Droid and its awesome with some cool features, id try it out but nothing to do with the issue your having.