Is there such thing as a binding arbitration agreement with no reimbursement of attorney fees? If not, how would I go about getting one created?

On paper you have the advantage but after several startups control resides in he who knows how to execute the vision of the company.

More of a political answer than anything to be honest. Laws are created by politicians, politicians make their decisions based on lobbyists & public opinion. Lobbyists and public opinion can both be bought. One person only has one vote, a company can persuade millions of votes. Imagine what would happen if Facebook (or Reddit) put a tiny icon that say "Vote ________ for president", how many people that would influence to vote. Businesses are what influence & create laws in the end. Even your personal opinions come from businesses. Is it something you read in a book? Author makes money, textbook makes money. Read it on the internet? The website makes money. Learned it in school? University makes money, professor makes money. A business that is breaking a law is really just fighting the status quo of the established businesses, which might be why often new businesses think or might assume they need to do something illegal to get ahead. While established businesses such as Comcast or Facebook can break laws and it be "legal" (because they do it in the right way of course). But no, entrepreneurs don't need to do illegal things and break the law. Pick a business model, any business model, and then do it better.

Non-disclosure agreements are very common. Know that a non-disclosure agreement goes both ways as well. A contract agreement should also protects you from the other party disclosing any trade secrets or know-hows that they may learn from working with you.

You should retain a lawyer, or another qualified individual, to act as the third party designee for the corporation (if you do not have a partner or co-owner who is a US citizen). The designee should prepare Form SS-4 (Application for Employer Identification Number) and Form 8821 (Tax Information Authorization) for the corporation’s president to sign and return.

This sounds as a deja vu to me. I have been in a similar situation back in 2000, we could only solve the issue thanks to a good mediator. However every situation is different and hence your route to a solution might be different. It also depends where you are in the world that defines how an email and/or verbal agreement might be a sufficient ground for legal actions. I am not a lawyer and can not judge that.