I was thinking of a localized direct/representative democracy hybrid, in which a local politician (thinking US House Rep for reference as the best balance of reach and scope here) holds a "referendum week" or some other massive voter outreach push before the election season starts to gather the issues that are relevant to the voters in their district. The goal here being: instead of basing policy off polls, party politics, etc. that rep is getting the issues directly from the voters in their district.
I recognize that this is sort of the point of town halls and similar events, but I'm talking about a concentrated period of time where phones are called, doors are knocked, and online submissions are taken.
Any country is fine, but thinking information age for time frame.