You're wanting closed, portable headphones with a short cable for under $130... a few options.
- refurbished HD25-1 II with a Sennheiser warranty shipped to the USA from Dakmart for < $130
- new ATH-M50 with a coiled cable (not M50s) shipped < $110
I have not used the "nano", but I suspect it doesn't amp headphones too well - just guessing. So I suggest considering an alternate route - less expensive headphones + a portable amp - and posting in the portable headphones and portable amp forums.