I decided to call TSI to inquire... It turns out that they're not able to directly issue two static IP addresses to a single PPPoE login, however they can create a second PPPoE login and affix a static IP address to each one of them. That would then allow me to be able to use my DSL service normally with its own static IP, which would then also leave me able to have the troubleshooting login for sticky situations. As for the bill, all it will do is add the $4 charge for a static IP to the bill twice, which is fine.
Apparently, TSI can do pretty well anything... It's just a matter of setting up the configurations to do so.