Facebook pages work differently to personal pages.
Your posts will only be shown to a percentage of the people who like the page. For a page with a few likes, it'll be a high percentage. When you get over 1,000 likes, it drops, and for pages with thousands of fans, it's less than 10%.
How many exactly see it depends on what happens when the first people see that content. So if you've got 1000 likes, Facebook might show it to 300 of them initially. If they engage with it a lot, it'll show it to 200 more, and if they do the same, 200 more. If the first 300 don't really engage with it, nobody will see it unless they visit the page.
You can get more people to see your posts by promoting them, but it doesn't sound like that's an option for you at the moment. Remember that this is Facebook's aim, it makes a lot of money through promotion.
The average person has thousands of potential posts ready for their newsfeed when they log in, so Facebook has to weigh up what to serve. That's why it's not showing in "Top Stories". It doesn't really matter about "Most Recent", because like you said, nobody uses that, and depending on how many pages and people someone follows, it could quickly fall down that anyway.
So, work on increasing the amount of people who like the page so you have a bigger potential audience, and making sure that people engage - if they read and move on, Facebook won't show it to more people. Stay within the rules here though - if you start begging people to like or comment, you'll lose fans for looking spammy, and you won't be able to promote.