You pay the savings in sanity points when you get roommates or family. No amount of savings is worth it.
Downpayments for houses in that area with a 740+ credit score is at least 200k and only goes up from there, don't know many parents that could help that much given the high amount taxable event, that's also not taking into account most homes have significant maintenance the first year, you never know what you'll find.
I've seen some places where they found out they had to fix the foundation after opening up to do some safety fixes, ended up costing around 120k. Involved a hillside sliding too so geotechnical engineer had to come in, no clue how much that cost after all was said and done. Wasn't found during the normal pre-sale inspection.