i'd suggest lightweight tuners as making more of a difference, but you have the little enclosed minis which aren't massively heavy to begin with. i think gotoh does make some superlight versions of those, as does hipshot.
your bridge is also well away from the end of the body, meaning that adding weight there won't help much with balance either.
i suggest some kind of weight added to the strap, right at the bottom button.
Guitar Repair Gnome
Alpha Music, VA Beach