Edit. First you will need to apply for a one month extension on your visa exempt, this will give you the tome for the money to be in the bank for two months.
Yes. You can gain a non o based on marriage at bkk immigration should you meet the financial requirements AND you have all the other relevant documentation in order.
Take a trip to immigration and get the hand out and start preparing.
It’s a ball ache to do from scratch, but totally doable thanks to all on this page.