Anyone have any advice on how to resolve this issue? The hosting company is not much help.

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Also, I am having members report issues with the following error.

Your submission could not be processed because a security token was invalid.

If this occurred unexpectedly, please inform the administrator and describe the action you performed before you received this error.

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Spoke to someone else at the hosting company and they said the site is being varnished due to the CPU usage. Since I have very little files on my forums, I am not sure what could possibly be using so much. They could not help anymore other than saying that if the CPU usage comes down, the site will automatically be unvarnished within 24 hours.

There's nothing really you or we can do, the hosting provider is in the only position to disable the caching.
Of course you can ask to upgrade your hosting package to something that doesn't do aggressive caching by default or move to another host.

Sounds like typical host nonsense, and you need to move host, varnish is very bad for forums.