You can sell the individual components just fine. Engine/prop (an experimental owner will probably go for that), interior, avionics, wings, etc. I considered doing this for the Aztec.
The problems (and the ultimate reason I decided not to) are as follows:
1) You still have to store the plane somewhere. This means that every month that you still have the plane costs you money. Let's say you're paying $100/month, that means you have to sell $100 worth of stuff every month just to keep this going.
2) Your money will be spread out over a (potentially long) time. I don't know how many Soooooooper Yooooooooper Yankees are out there, but my guess is that the demand for spares is going to be relatively low. Avionics will go quickly. Wings will go slower, and be difficult to transport. Keep in mind that you subtract your theoretical $100 from your profit every month, and that the plane will deteriorate as it sits.
3) In the end, you'll be left with a part of a plane (figure fuselage and other ancillaries) that nobody wants. So now you end up having to convince your local A&P school to take it off your hands for free, and hope that they don't try to charge you for taking it away. Obviously, this is significantly more convenient if you have an A&P school on field.
I'm not sure what's prompting you to sell the Yankee, but if it's that it doesn't fit your needs anymore, I'd try selling it. Yeah, the market is pretty bad, and thus it's great to be a buyer and bad to be a seller. But spreading it out as Mike does with his auto salvage works best when you're in a position that gives you free storage. I've parted out plenty of cars and made a bunch of money off of them. I was also set up to do this pretty well, and had "free" storage for the vehicles. In the case of the Aztec, I could probably sell the engines, props, and avionics pretty easily. Then you've got other high-ticket items like the Janitrol, windshield ice plate, and boots (by the way, boots are a real pain to remove). Those by themselves would probably get me me the same amount that I'm expecting to get for the Aztec when I sell it. Then I'm left with a fuselage to try to dump (which I could part out for more money). The whole time, I'm spending money, spending time to remove the parts. I've got enough stuff going on right now, no thanks.
Whatever you choose, good luck!