There are a few parts to this.
So, you want a cheap instrument-like thing to fool around with. Go ahead and buy a DooD. The only problem I see is that if you eventually move to a "real" woodwind, you're going to have to unlearn some bad habits that you learned from playing the DooD.
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I have a couple of recommendations:
Possibly the best suggestion I have is to see if you can find a music store near you that will a) finance a horn for you and b) give you free lessons. I think that this is the best of all possible worlds for you.
~ Small pause while my 55lb German Shepherd/Doberman mix wants to give me kisses, like NOW ~
Second, in a former life, I was the assistant to the director at a rather large church in New York. We had several instruments that were donated to us -- I think that I personally donated four or so -- and the director would give free lessons to anyone that played in the orchestra. You donate time, you get free stuff.
Third, check out a local college that has a music program. Wander the halls and look at posted flyers. You might find someone that wants to teach (or at least needs extra credits) and has a horn lying around for you to play on.
Fourth, it's possible that you have a community band/orchestra that will do what I mentioned in my second point.
Fifth, check your local paper and CraigsList to see if anyone is giving away instruments. I'm told CL has a pretty good free section.
Sixth, keep going to your local Goodwill/thrift stores/pawn shops and check out goodwill.com. You might be able to score something cheap that doesn't need that much repair. Remember that it's much more rare for something good to filter down to this level.
Seventh, check to see if your city auctions off stuff. I, unfortunately, don't remember the website I used -- and it was probably for AZ anyway -- but they were selling everything from a snowplow (!) to old band instruments. Remember that it's much more rare for something good to filter down to this level.