What kind of niche is your Facebook page on?
Please understand that Facebook has basically just destroyed the power of Facebook pages.
Back in the day, if you have even a few 100,000 likes on your Facebook page, this could translate to a nice healthy dose of daily traffic.
Those days are long gone, because the Facebook crew have decided to milk as much cash on their social network.
And nowadays, Facebook groups produce more traction than Facebook pages.
So this is the first hurdle that you're going to overcome.
Also, you have to have a tight focus on your niche and your page has to have a tremendous amount of loyalty.
Meaning people actually pay attention to your updates.
Between those two factors and the fact that you haven't really shared any information on your niche as well as the loyalty or intensity of your audience members, there's really no way people can come up with a workable suggestion that may make sense in your situation.
One thing that I can share though, is that you might want to consider creating your own sales funnel using your own products.
Since you're the one who is in the best position to know the actual traffic behavior of your Facebook pages fans, you will surely be able to have access to information you need to craft the product that they would want to buy.
Once you get them on your list and you take care of the relationship you have with each and every member of your list, you can definitely turn that list into a long term asset.
This, of course, involves building a mailing list and constantly messaging your fan base.