Noyce's experiment is pretty cool, and shows that the fundamental produced should be strong enough to trigger a tuner. Getting a reading from a shaped body, is a different matter - you'll have to just try it and see.
Rodent, where and how you hold the body for your tests could make a big difference. Holding it at a node for a particular resonance reinforces that frequency, and dampens the response of resonances with an antinode at that point. Hence the importance of getting the right spot on a xylophone key. (Next time you're in a lumberyard wrapping on boards looking for "tonewood", try holding the board at its end and you'll get a thud. Now hold it about a quarter of the way down from one end (22% per Noyce), and you'll get a tone.)
And don't forget that different bodies cut from the same wood will also sound different due to natural variation between trees, different parts of the same tree, etc.