We find that most campgrounds have recycle bins, at least for the items commonly recycled in that state. Some areas simply do not have the infrastructure for recycling certain things, i.e. no central facility for sorting and processing the scrap, while others have the means to process most anything.
If your main concern is recycling for profit, e.g. returnable (deposit) bottles or selling scrap aluminum, my guess is that it probably is going to be too limited to be worthwhile. You won't have enough space and weight capacity to be practical. Also, many states do not have a bottle deposit program, so it would depend on where you go.