In southern California Oceanside seems to be an option.

If so, this is the RISKIEST option.

FHA gets a bad rap because sellers and many agents think it's only for people who don't have the money so if I had 20 percent, but wanted to use FHA, I would present a proof of funds with my offer showing I have more money, but am using the FHA as a financial option so I can get an investment property as well somewhere else.

Consider lease optioning the “now keeper” and walking the created debt forward if you lease option buyer can cash you out. 

Any of the second tier large cities like Greensboro, Winston Salem, Asheville, Wilmington, and the surrounding areas will have plenty of options.

But of the options you note, the only one that really makes sense to me is the CoC option. 

IMO better options- If you don't need the money in the next 10+ years look into Annuities I'm seeing 7-9% and you don't have to participate in market downturns.

Many approach the homebuying process with a research-heavy mindset, wanting to weigh every option before making a commitment.

Since the mortgage rates have been higher than previous years and the inventory has been lower I'd recommend looking into multi family options that are currently cash flowing in areas that values are increasing.

While a western WA deal might not meet some Midwest cf metric like 1%, it will be above the market cap rate or below FMV of comparibles and give you options.