I have recently completed the migration of the forums to a new host. The new host will be responsible for performing any future upgrades, installations, and technical maintenance as part of their service package.
Having said that, we are not in the clear just yet and we could still experience some issues until all steps have been taken. The next steps will be to upgrade the forum software to vBulletin 4, and I will also be installing the Tapatalk plugin which seems to be heavily requested. Afterwards the host will look into doing whatever necessary optimizations are needed to keep the forums up to date and running smoothly so that we don't have a reoccurance of this issue.
Those steps should be sufficient to fix this problem once and for all.