Have to say I agree with the suggestion Ubonjoe made which is to apply for your Non Immigrant O Visa at The Thai Embassy In Vientiane. You have everything you need, you enjoyed spending a few days in Laos before and the actual Visa will only cost you 2000 baht. You can then extend of course after 60 days.
You just need to make an appointment to attend the Consulate Office to submit your application and then you return 2 days later to collect your Visa.