There are many players with small hands manage to play wide necks. There is quite a few women bass players(check out Jeff Becks bass player) and classical guitar players that have small hands, and manage to tear along the neck much better than I can
I'd suggest doing stretching exercises starting on the 13th fret bottom string with your index then 14th fret with middle 15th fret
ring finger then finally 16th fret with pinky taking care to keep all your fingers on the note played as you go up the neck. Do this on all the other strings then go down the neck to the 9th up to the 12th fret. Do this on the whole neck right down to the bottom F and it will really work your fingers. You'll notice a difference in no time. You must start off on the high frets to give your hands a chance to loosen off.
I got this from a classical guitar tutor and I still do them almost every day before I start playing my music.
I've got the opposite problem in that my hands are on the big side and I find a narrow neck somewhat awkward to play at times. But these exercises still help me with that problem too.
Another suggestion would be to pick up a really cheap classical guitar or wide neck acoustic and do these exercises on it and you'll find your Burns no problem at all pretty soon.
Hope this helps.....Hugh.