Start a company on the side. There's never been a better (easier) time.
Can you start a company while you are in the US on an H1B? (Obviously, many people do.) There seem to be two schools of thought about whether this is legal with the IRS - research it, and maybe talk to a street smart immigration lawyer.
What if the company you start isn't actually incorporated, but is a side project allowing you to expand the skills you will need as a startup CEO - funded by the cash flow from your job? Or perhaps your company is incorporated outside the US?
Also, for anyone dissatisfied at work, I highly recommend the test at JOCRF.org. It's well worth the money.
Source: I've been in your shoes, and this is the advice I wish someone had given to the younger me.