youch! TiT it's amazing the different responses you can get simply depending on the individual at the bank. It's definitely possible to have 2 accounts at the same branch, because I have 2 and I didn't need to provide yellow book or work permit.
I did this a couple of years ago and kept the 800k in the same account. I explained what I wanted to do and the reasons and they cancelled the card for my original account and gave me a new one for my new account instead.
Having said that, I never use the debit card these days anyway as I always use the cardless withdrawal option on my phone, so I kind of wish I had opted to not have a card (if that's possible).
Moving your money is fraught with potential disaster, so personally I would try to avoid doing that.
I have moved provinces twice and not transfered/closed my account as most people seem to think you have to.
It is true that they refuse to transfer your account, but the new province has in my experience been willing to provide the documentation for the extension of stay at immigration.
Of course TiT, so I am not saying it will work everywhere.
You are given 60 days visa exempt when you arrive and can extend this by 30 days if required.
The day you arrive counts as day 1, so be careful about how many days you stay, as I see a lots of people posting that they calculated the stay incorrectly by 1 day.
You might have a problem opening a bank account without a visa.
This is one of the only things you might need an agent to overcome the problem. I have never used an agent, but it might be worth asking advice from others as I think the cost in Bkk is high compared to other cities, so you need to check their reputation and cost. Good luck.
I have done every 90 day report online, it takes 2 minutes and you receive an electronic version of the same document you get at the IO, so you can print it. What's to lose trying online 12 or 13 days in advance of the due date?