I find the Mises Caucus at least useful in pushing to do more than simply be an affinity group for people pretending to play politics. I find partying with LP officials to be very hilarious, what a group of odd balls. But the party itself has no hope of electoral victory, which is why everyone should vote Republican in the current iteration of two-party politics from the libertarian lens.
I prefer corporations because I can voluntarily choose to take my business elsewhere, or even better, create my own competitor. Why I dislike the government is that it's the ultimate monopoly, with guns, and operated mostly by power-hungry sociopaths who will use that power to destroy innocent lives.
Given the corporation or the state, I take the corporation every time.
Your second paragraph is setting up a false dichotomy. It's not the corporation xor the state. Fundamentally, corporations as we know them are creatures of the state - government chartered legal entities, running on the government's legal system, with government granted liability shields. But the main point is that where the nominal state disappears, the corporation(s) step into the power vacuum and become the inescapable government. To be able to take your business elsewhere or create your own competitor, you need individual rights. While the underlying physics supports this directly for some abilities, for others you need coordinated collective action. This often takes place through the state, meaning that blanket calls to dismantle parts of the current government can often serve as cover for enabling newer less-constrained government. Think yin-yang and NP/Turing completeness circular reductions, not towering software builds.