It is possible that there are no major beer brands that have not done LBGT promotions.
That leaves microbrews, imports and faux microbrews, of those, many have had similar promotions.

Anheuser-Busch and other major beer conglomerates have been quietly buying these brands, allowing them to keep their names and identities, while using AB's distribution and paying their cut. Beer companies are also buying out many local brew pubs and their brands.
It's been going on for a while. Next time you go to your local brew pub, ask them who their owner is...
Those are all over the place. Find a good local brand that has a beer you like, and support it. I can't think of any national brand that is actually worth drinking anyway.