Ask HN: How can a UK startup make business-critical Silicon Valley connections?

When I look out the window I see sheep, hills and a river. It's a charming view and makes for a relaxing and productive work environment. From here I've spent the last 15 months building a SaaS product, team, customer base and a brand for a product that integrates with the big names in Silicon Valley: Facebook, Twitter, LinkedIn and Google.

As you can probably imagine, I'm more likely to bump into a tractor than someone who works at one of these tech giants and its reached a point where this is a major problem for our business.

The problem we face is simple: we need to become an Instagram Partner so we can use their locked-off API to enable our customers to manage their content, but in order to become a Partner you need to be invited by someone on the team at Instagram or recommended by an existing Partner. Both of which are scarce in the UK, let alone in the Shropshire countryside.

So my question is: how can I connect and build relationships with key people at these giant companies from afar?