What forwarding are you needing, a place to receive mail forwarded from your business back home or a service to forward mail from Chiang Mai when you aren't here? There are several mailbox rental places, but I haven't seen one that will forward your mail to somewhere else. If you have important mail that needs to find you when you are traveling, you might be better with a forwarding service back home, probably more reliable than a Thai company.
I have dealt with both the Tha Phae and Chang Puek branches of Bangkok Bank, their customer service reps all speak decent English. Technically you are supposed to have a visa (business, long stay, etc) to open anything more than a savings with atm card. But like many things in Thailand, these formalities are often overlooked.
I'm looking for mail forwarding within Thailand
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