There is a guy who wrote this little software called PushMail, version 0.2b.
You can find some info searching here but the link to his page is:

Arnaud Porterie - Project PushMail

Every time you receive a SMS it will force your built-in email client (pocket outlook) to connect to the internet and download new mail. If you had a Gmail account then you would be set. Setup as follows:

1) Enable your Gmail account for POP access
2) Forward any email coming to Gmail to "yournumber"@"sprint/verizon".com so that any new email causes an SMS to be sent to you.
3) Set up Pocket outlook so that it gets email from Gmail into your inbox.

And now, in action:

1) Sender emails you at xxx@gmail.com
2) gmail forwards to you via SMS (160 chars)
3) PushMail intercept SMS and before you even see it, it will delete it.
4) PushMail will force pocket outlook do download the message and a small message will pop up on your phone telling you that you have new email (showing sender and part of the content). You click "yes" and it will take you to the message (however long that is!).


You have 1 option to make this faster but this means that the sender has to do something for you, namely, send the email to BOTH your Gmail and SMS, so by the time the new email is in Gmail, your SMS notification will be just about to bug your cellphone asking it to download that email.


Timing:

From when the SMS hits the cellphone, to when pocket outlook downloads the message, we are looking at 10 seconds top. If you can live with that, then you are set.

NOTE: Data...
you will need a data plan to download emails of course.

NOTE: Gmail...
when you set up your user name in pocket outlook, use "recent: xxx@gmail.com", not just "xxx@gmail.com". That way you will have no issues getting email off of Gmail to your device.

hope it helps.