PMs to multiple recipients

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It would be very useful for me to be able to send private messages to a group of users (eg: the ones who still haven't contributed to the "when are you available for the next session?" poll) at once, rather than a separate message to each user.

I'm not asking for mailing-list functionality or anything like that; just for the one message to go out to all the users on a provided list, with a single From (me), so all replies would go to me and only me.