Daily Sending Limits (imposed by Gmail)
Google Apps Gmail has sending limit of 500 messages per day for free gmail accounts.
Paid Google Apps accounts have limit of 2000 messages per day.
Here is the explanation of Google Apps Gmail sending limits:
https://support.google.com/a/answer/166852 (see Daily sending limit section)
Google resets this limit every 24 hours.
Note that you can still queue more messages (add them to forward queue) – but cloudHQ can only forward emails once the limit has been reset by Google.
Size of the Forward Queue
cloudHQ paid accounts have unlimited forward queue.
cloudHQ free accounts have limited forward queue to 100 emails.
How Many Messages Can Be Added to the Forward Queue at Once?
As of now, cloudHQ allows maximum 100 emails to be added at once to the forward queue. So if you want to forward you 300 messages, then you first need to add first 100 messages, add next 100 messages and add the last 100 messages.