The TEA Party is not an organization, it does not have leaders, there is no mechanism in place for anyone to decide what the TEA Party thinks or will do.
If there was a central organization, the left would have probably destroyed it by now.
It doesn’t stop you or anyone else from doing this, it could catch on and become a prime source of information for the TEA party masses.
What is needed is not to funnel money through a formal TEA party, but getting individuals to funnel money to vetted candidates. You still need some money to set up the structure, web pages, communications to the members.
Having the TEA party distribute the money directly to candidates makes for a large target.
I’m not sure how you keep this from being manipulated by the left though.