Some will view the cards as an attack (although they may think you're the only one)-trying to predict a business owner's views/reactions is a crap shoot.The natural reaction of anyone when they are attacked is to dig in, and become defensive.
Business owners are just like anyone else-some will let their emotions get the best of them, some will look at the problem from a logical/business point of view-hey, I'm in business to make money, and if this is costing me money...
Can't speak for other state organizations, but I'm pretty sure VCDL has had numerous contacts with reported non-gun friendly businesses before they're finally put on the list.Organized boycotts are only effective if the pain of lost sales exceeds the conviction of the owner about the issue. Even if you win, compulsion is never a pretty emotion to swallow. Someone who holds very strong convictions will likely strengthen them further, no matter the cost.
If someone has "very strong convictions" (no gun policy), I kinda doubt handing 'em a card is going to sway 'em...