The wewrite contest is a @freewritehouse contest.
Yes anyone can post! I know you have already - it's @mariannewest's daily prompt, and I believe one of yours was mentioned in this week's collection of freewrite favorites. Maybe I don't understand your question.
@freewritehouse does run contests that might be more to your liking, but writing freewrites is so much fun and a very valuable exercise if you ask me. No pressure, no expectations, surprising results. It's a lot of work to run a contest, and we're all a bit overwhelmed at the moment. I hear you expressed an interest in getting wewrites back up running. Maybe you could help out with that.