Billy,
I've used the Safari Tuff Traditional Rhino case quite extensively for traveling with a TD recurve. Costs around $65.
These days I tend to just use a 5" drain pipe like my cousin Andy has already mentioned, because I only shoot longbows these days. There's not many other ways of protecting your bow well, for a small light weight price.
I would also recommend trying to make your kit look as inconspicuous as possible by putting in your clothes and that sort of thing. These days I tend to travel with a big soft duffel bag, with two drain tubes in there with my bow and arrows, and all my hunting gear.
Have fun and be sure to share your stories when you're home!