AFAIK you cannot obtain a tourist visa in the airport. An 'arrival visa': yes; a 'visa exemption stamp': yes.
If you need a 'tourist visa' I would get one in VTE as the embassy probably is the most active for Thailand visas and it will be processed in <36 hours under most circumstances.
If you're carrying a passport from one of the many countries given the visa exemption stamp then you can simply use this to enter Thailand. One caveat is that a land crossing will only come with a 15 day stay allowance.
The main question is this: Do you really need a 60 day tourist visa?