I posted to HackerNews because I suspected my issue would be seen and taken seriously if I did that. I could tell the ticketing system people were overlooked and only looking at my issue in a very shallow way.
If this had not worked, I would have started using my Stack-overflow account then Reddit. If that didn't work, I found an address of a lady how works for Twilio nearby, I was going to go knock on her door and see if she could put me in touch with someone.
Luckily I was able to get the problem resolved without those additional steps.
I would like to point out that Twilio's ticketing system works well for complex problems that are not time-sensitive. I had an issue a few months back that I think was probably quite complicated involving bureaucracy and multiple carriers and it was resolved in a few days via their ticketing system which was very cool.