Thanks for your valuable feedback. Let me read your other discussion and do some research on exactly what VTSAX is so that I can converse intelligently with you about it.
Yes, I do recommend the Vanguard fund we are in agreement there now, but what about market declines or huge dumps or resets that cause you to lose 50% or more of your investment? This happened to me during that last large banking bust / stock market crash back in 2006-2008, so while your calculations including compound interest are correct, it's mildly foolish to assume that you will actually have that kind of return after 40 years of reinvesting into the same mutual fund.
Still it is a worthwhile option for OP to consider, because there are lots of hidden costs to home ownership, like maintenance and taxes. I imagine that some years the VTSAX fund will do great and others not so much. I wouldn't recommend buying a $250K home for your first adventure and the 30-year note on the home is not my style either. Find a good fixer-upper in the 70-120K range put sweat equity into building value for the home while you live in it and then sell it for profit. If you can't sell it and need to move, rent it out and put it under a management company that can take care of the typical duties of a landlord. My preference is to only buy if you know you want to live in an area for 5+ years, and still then you want to buy intelligently and with a plan. It is better to rent or lease in certain scenarios because you have the flexibility of leaving without strings.
In that respect a Vanguard mutual fund would probably be a better investment for OP whilst they ponder what to do next with their monies. Just make sure it's a money market account and not one of those evil IRA's that force you to wait until retirement before you can withdraw funds without penalties. You want to be able to sell your VTSAX options and move your funds elsewhere if you so desire.
OP there is another option, you can use the money to fund your college education and become a high paid investment banker or maybe something more practical and reliable like engineering or dentistry. I never thought to ask if you were already done with University or not.