I very limited experience with basket pipes, but I will have to say Italy.
I only have one basket pipe, made in Italy. It's one of my favorite smokers.
It actually does have a name on it (Fero), so that may disqualify it.
The guy at my B&M threw it in for $15, with my purchase of a new Peterson pipe and 5 tins of tobacco, I literally picked it out of a basket, I think it had a sticker on it for $30.