One solution is to send samples of the wood, with suitable documentation, to the Forest Products Lab, Madison, WI and ask them to identify the wood. When I did this for the wood in some heavy timber trusses, I used a hole cutter saw and cut some 1" diameter by 1/4" thick samples, sealed them in zip-lock baggies with a data card describing the location and type of framing member. I got an answer back in about two weeks with the species and MC%.
I don't know of any non-distructive test that will tell you the species of the wood, but there are a number of non-distructive tests that do tell you a lot about the condition of the wood.