Hi Sanjay, I work for a commercial general contractor here in the Bay and just graduated with by BS in Construction Management this past December. I've learned a considerable amount about the construction process though take my advice with a grain of salt.
I would say managing the construction of a 3500 sqft house through demo of an existing structure, new site work, at carrying the project all the way through to the end would be quite an undertaking - especially with minimal construction experience. When you plan on spending the amount you're spending per square foot I would personally recommend hiring a professional who really understands sequencing (savvy with the flow of construction), building to industry standards, and how to manage people well, and what quality work should look like at $300/sqft. There are also a lot of unknowns or issues that can come up in construction where it is extremely valuable to have a professional who can solve problems quickly because in construction - time is money.
I only really have experience in the commercial construction general contracting realm so your guess would be as good as mine as far as finding residential builders/CMs.
I hope that provides some insight and I wish you best of luck with your new house!