Startup Founder Transition to Mgmt Consulting Expectations/Chances?

Kind of throwing this question out to those more knowledgeable than me (probably everyone here), but I've arrived at a career impasse that seems to be prompting a transition. I am a startup founder, in my late 20s, in the green technology sector (physical products, not software) with a civil engineering background. Due to several family matters, I will have to relocate from NYC to LA and I'm not sure I can continue to maintain the startup founder lifestyle, so I am exploring career transitions that can leverage my unique skillset - one of the potential landing spots could be management consulting.  The inspiration for this came from several research pieces published by McK that seemed to speak to me in terms of what they got right, and what I believe they got wrong in terms of insight - but still a huge step up from the status quo. I don't think there are many people who have the unusual range of experience that I do (directly working with every aspect of bringing a product to market from the ground up within this particular sector), and it seems to me like these skills are needed given that environmental concerns are becoming a much bigger part of decision-making for tons of businesses.

Now here's where I get nervous: my educational background is very non-traditional as far as any management consulting advice I've read. I have an engineering M.S. from UPenn (3.95 GPA if that even matters), but no formal business background - it's all experiential. Looking at people from MBB firms, I see a lot of engineers represented, but most also have MBAs. I'd be willing to get one if an employer would pay for it. I've basically done everything myself when it comes to building a business, including the marketing, web development, business strategy, pitching ideas (loads of pitch decks), software backend, data analysis in addition to all the typical design, prototyping and lab testing that an engineer would do, and raised mid six-figures in non-equity grant funding on my own. 

Again, please excuse whatever naivete I may be presenting in this post. I can learn any skill rapidly, but I'm also worried that hiring managers might not be willing to take a chance on someone like me for an associate position given the fierce competition. Do I have a realistic shot at an MBB firm from cold applying, or should I look at some other strategy? There are also some smaller firms that have reached out to me showing interest, but their comp package isn't that great. Should I start at one of these firms before considering moving my way up? Do I sound like someone that needs a ton of coaching before even attempting this?

Thank you for taking the time to read this - any advice is greatly appreciated.