Robert_Charlton - 9:22 pm on Dec 17, 2012 (gmt 0)

It's very often the case that a deep page will rank for a core phrase with modifiers, while a home page will rank for the core phrase. Possibly...

a) you mention the core phrase on your home page too many times...
b) your deeper page doesn't lead users to pages they're happy with...
c) your deeper page isn't getting the confirmation (or engagement) that Google needs, either via trusted external inbound links or other types of user attention, for Google to rank it over your home page.

It may be that you've too obviously targeted your deep page and Google is aware of the manipulation, so Google is pushing the page down.

Often in ecommerce situations, it turns out that the phrases with modifiers, while searched less, have higher conversion rates... and the short trophy phrase, while it might bring in more traffic, doesn't convert because it's too general.

PS: Changing the name on the page would only confuse Google for a while by providing a temporary diversion. Eventually, results would revert to results appropriate to the actual situation, which apparently you're not planning on changing.