Seems to me that the solution is buying your own cow.
If that is the only restriction you have to get around in order to legally own and drink raw milk, why not just go ahead and buy a cow?
Health problems and illness have been shown to result from consuming bad milk. That is a fact, to dispute it is to ignore reality. But, if you prefer to drink raw milk, the law allows you to do so. You just have to buy and maintain a cow of your own.
What is the issue? You are going to claim that you cannot afford a cow? While spending ten dollars a gallon for illegal raw milk? Or, eight dollars a gallon for organic? This seems more a matter of personal priorities, than an issue of citizen's rights being infringed. You don't just want raw milk, you want it cheep and without any work on your part to obtain it.
That's where it gets dicey. The government has a responsibility to protect all citizens equally, which it does by regulating milk, but nobody is responsible for providing niche product for those who choose to live outside the protections offered by the law.
And while that may sound harsh, or dismissive to some, the fact is, the government does not deny you access to raw milk, it just says you can't sell it. Again, since you have made a decision to drink raw milk in order to receive some perceived health benifits, it is up to you to buy a cow and produce what you want.

Finally, for those who will say I have no experience with or appreciation for raw milk, I will say I grew up drinking raw milk that was filtered with a cheesecloth and chilled in a metal canister in the river. I know, it's good stuff, I get it. But these days I sit with the 95% of Americans who would rather buy safe food for themselves and their children. For us, the risk outweigh the benefits.