No? Here, take this business card and look them up!
Does anyone think this would be a good way to get new shops and business to support btc's?
Just ask at the check out and give them a card with a website or something on it...
Yes of course. Looking at it in terms of any form of marketing, you will see that most people will probably toss your card aside and never look at it again. Some will take a look and decide it is not worth their time, and the smaller few will understand and embrace.
I believe it would be a great way to spread the word. At this point, probably not with the 70 year old grandmother who runs the tea shop but you get the idea I'm sure.