It all depends on how you've set up your non-BES Non-Blackberry email. If you have set the BIS/BWC to pull from a POP3 account, it will poll periodically (about 15 min. I'm told). If you set up your Non-BB email to forward to your BB account, it is passed on to the handset immediatly.

If I send an email from my handset to myself, it usually is less than 2 seconds before it is returned.

And my attahcments are available to the handset for more than thirty days

Rcbjr