You’ll need to apply for a 90 days initial Non O visa in country first before you can apply for the one year extension of stay based on this visa. There’s no one year extension for visa exemption or tourist visa.
And I guess it also depends on the particular tax agreement your own country has with Thailand. For Norwegians as an example partial taxation to Thailand is an advantage. But we don’t have this 60+ plus fond as you mentioned.
If you just want to get a new 60 days visa exemption, your safest bet is to use a professional land border transport company. They’re fair priced (3-4000 baht), will bounce you in some hours, know the name of the game and won’t bring you unless they’re confident in getting you another exemption.
You can normally fly back the same day, but if they will allow you depends on your previous travelling history and the discretion of the IO your standing in front of.