This is a great idea!

That would be pretty cool.

An RSS feed with the newest questions can be found here: https://bitcoin.stackexchange.com/feeds

Unfortunately, we get a lot of spam and low-quality questions, so I wouldn’t recommend cross-posting every new question post. I was trying to figure out whether there is a way to get an rss feed of only questions with at least three upvotes, but while I can produce a search to that end, I haven’t found a way to turn that into a feed, yet.

Perhaps if you’d run this search repeatedly and then post items once they make these search result, you’d be able to achieve such an effect.

Edit: Just found What other hidden or inobvious RSS feeds are available on Stack Exchange and its sites?. Perhaps https://bitcoin.stackexchange.com/feeds/hot would be useful in this endeavor.

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Or did you mean a feed of the posts that specific users are making? That would be easy, mine is for example: https://bitcoin.stackexchange.com/feeds/user/5406/recent