A/B test Facebook posts with Spark
techcrunch.com
techcrunch.com
Then take the winner of that test and post to the rest of the people who like the page, where "organic reach" takes over.
1. Post several ads (which will show up in people's newsfeed's along with their friend's updates, Page post, etc) that mimics the exact phrase and imagery that you would otherwise put in your Page post.
2. Create like 5-10 of them with different creative, verbiage, etc.
3. Whichever ad gets the most engagement, you copy that ad to a Facebook post which does show up in a Page feed (and if you're lucky in people's newsfeeds). Hope it goes viral and you'll end up with clicks to your content.
Unless you have viral headlining and content ("30 things these 6 girls never thought was possible until now") this won't be that useful, as the cost/benefit of it probably isn't worth it.
Having a native tool to do this lets FB assure people that they are getting the most bang for their buck now that they need to pay to play.
30 seconds of googling could have prevented this.