I don't think dropping the low E string down to D really constitutes retuning at all--but if it results in your playing up the neck and bending the high strings more, especially the B, that'll do it.

Having had the same problem in varying degrees over the years, my playing style has adapted to it. I don't bend strings very much, especially when using a capo--maybe once in a tune. There are other effects that help make an interesting musical sound without the attendant problems: crosspicking (builds up nice jangly overtones, mixing open and fretted treble strings, a modest vibrato, tremolo or at least little triplets on the same note where an emphasis is desired, and unisons on the fifth fret...

Willie-O