Note that 'carbonated water' typically refers to a water solution of carbon dioxide - somewhat different from sodium carbonate - it might even dissolve some of the DMT but that's another story. In chemistry, sloppiness of terminology could be fatal! Ok here in context, but elsewhere...

I'd re-acidify (white vinegar or citric acid will do), evaporate, base with sodium carbonate, dry and pull with ethanol, acetone or isopropanol then evaporate to collect goods. This helps one avoid residual naphtha. It's all really quite simple.

Good luck with the clean up!