hello,thank for sharing
After reading your idea, just sharing my thought on how to increase the like on a fan page.
method 1
We can create several profiles on facebook yet aged facebook account is better then we use facebook graph search to target or find the post related to our niche who is many people engaged and reaction, export their facebook id and use software to add as friend, from this you can get a large facebook id, then use several profiles add as friend, then add those profiles be role of page and invite those friend like pages.
method 2
invite friend by email list , just now after I reading this post I found can invite email list to like fan page, then we can use this to fast gain ton of likes,use some software like email hunter or any similar software to get email list,cause myself host a sendy newsletter platform so email list is engaged with my website maybe send this kind of invite to like my fan page is relevant and easy to grow.
method 3
Post a attract content on fan pages, use few profiles share to group each profile share to 100~140 group ,each group at least 5000 members , use software to do that and bump your share post 300minute and repeat, remember to remove the bump message, from here just keep see the fan page like grows - this method more tend to promote product or services.
I personal only use method 3 to promote my product, it very efficient without paying a single penny to facebook and i no concentrate to page like yet, Just my thought of how gain like for fan pages.