Just my 2 cents but,

In good double barreled game guns (as opposed to clays guns, which are heavier), weight is not really a problem, especially in small bores. The real issue is balance, and that depends on you and how well the shotgun fits you. Given the extra length and weight of auto-loaders because of the action, a 28" auto-loader will not seem heavier than a 28" double barreled game gun if they both fit you.