residency? That's very confusing. He has the bank account already, if you mean obtain a 'resident certificate' he doesn't need that to apply for his visa. 'Residency' in Thailand is a completely different process....
The Chonburi residence cert is valid for 30 days, yes you could do it yourself in Chonburi. You'll also need a health cert, watch the video online, and get to the office before 7am to stand a chance of getting a ticket for that day. The agents will be there before 6am to secure the first 30 or so tickets
They want paperwork demonstrating that in the the last 12 months the balance hasn't dropped below 400k and was back to 800k 2 months before you extend again. Hence they want to see a full 12 months statement. They know that the passbook won't show transactions made online, where you could have taken the money out and then returned it, maintaining the balance but breaking immigration rules, however a 12 month statement would show this.
The letter the DLT want, is a 'Residence Certificate' which you obtain from Immigration. Prices vary between different offices, so do the rules. Eg Bangkok it's almost impossible to obtain if you aren't doing 90 day reports. Pattaya however easy, just go in with your TM30 details.
The Resident Certificate is a standard request and needed or helps for all sorts of things, driving licences, bank accounts, registering vehicles... My local IO in Kanchanburi charge 500thb, and they write the reason for the request on the resident certificate.
Putting it in your wife's name would probably be easier...