"...great ideas will rise above connected people's ideas..."
That's a nice way to put it. But truly great ideas tend to be self-demonstrating. If your idea is like that, like the portable water purifying straw, or wheels on luggage, you really don't need to do much.
For every other idea you either need to be connected yourself or you need to build a base of support. Perhaps identify the B and C listers, the ones who actually are hungry for a story. Or try to get 1,000 customers / people / whatever your metric is, then give them something in exchange for blogging about it.
You have the imagination to invent your thing, right? So why are you not using it? Connected writers are lazy. People come to them all day long. Do you really want your company to hinge on the whim of a lazy, distracted person who has no stake in your success?
Figure out what you really need to succeed, and go after that. Chasing PR because it's the default choice is a waste of time.