Under this method you make your one and only offer; no negotiation, if it’s not accepted you walk away.When I started in real estate investing a couple of hundred years ago, I was a proponent of the first method.  

Or maybe there's a good middle ground to shoot for instead, or even a totally different option.

These are markets with somewhat to very affordable cash flow options that I have visted and loved and could see myself living for a temporary amount of time for a rehab/primary res, but don't have the minute data and information I am looking for.

The custom builders in the area are very competitive and are offering pretty inexpensive builds vs comps.If the lot was purchased recently for 20K and the turn-key cost to build is $200K, after I close on the house (bank said appraised value would be 220K), would a new buyer have problems with it getting appraised over $220K even with other comps selling for 300K+?

Have couple of offers to buy, one is convenience store and the other is storage company.

The government can keep printing money as one option.  

We have an opportunity to live in one of our dream locations in a wonderful space, so I’m exploring all options before making a decision.

The S.O.T.A program works well, and is a good option to get a tough to rent vacancy filled if you invest in a low income area.The process of getting the deal done with them is pretty simple but pack your patience though if you get a bad case worker, you'll need it.

I’m considering purchasing a rental property in Southern New Hampshire due to the more affordable multifamily options compared to Boston.

In Southern California, multi-family properties offer potential for appreciation along with some cash flow, given the steady population and desirable market, but higher property costs, taxes, and insurance can eat into your profits, and finding a suitable unit in your budget might be competitive.