Sending card with registry info

Lue
Ok, we plan on sending out a holiday card right after Thanksgiving. We just announced on social media and to coworkers/less close friends/extended family. Everyone is asking about a registry. We haven't started one yet but we plan to in a cpl wks. 
So here is my question. Would it be tacky to send out registry info with the holiday cards? Most of the people asking are ppl who wouldn't come/be invited to a baby shower or that live further away. 
Thoughts? 
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Update***
Thanks for all the advice ladies. I was feeling it was tacky but mh is in favor of it. I was going to give in if ppl favored his thoughts but it's a load off knowing most agree w me. I was stressing!