@Joseph ******
depending where you are you can use the e-visa system, there are two issues with regards the multi entry tourist visa.
1. You can only apply for it in your home country (or a country in which you have residence)
2. You can only apply for a visa in the country you are physically in. If that country uses the e-visa system then yes you can use it but you need to show where you are.
I didn't actually say you need to apply at the embassy but rather ask them their position on issuing multiple multiple entry tourist visas. Some of the embassies nearby Thailand have now stopped issuing multiple (single entry) visas, it's one and you're done.