Plenty of decisions aren't made by one person. A couple choosing a home, a hiring panel reviewing candidates, a family planning a trip. The usual result is a reply-all thread where the loudest opinion wins and the quiet ones never get counted.
Give everyone their own link
Add each person to the deck as a recipient. Each one gets their own private link and swipes through the same cards on their own time, without seeing anyone else's choices first. That keeps the first opinion in the thread from steering the rest.
See where the group lands
The deck's results show, for each card, how many people were interested and who said what, with the favorites first. An option everyone marked Interested is an easy next step. An option that split the group is the one worth a quick call.
Ask for the next step once
When someone taps a shortlist button, like Book a tour, you get the request by email with what they picked. You don't have to collect answers by hand or chase the person who hasn't replied.
Follow up with the quiet ones
Turn on reminders for recipients who haven't finished, and watch for quiet-client alerts when someone opened the deck but didn't decide. A short personal note at that moment usually gets the answer. See Reminders and quiet-client alerts.