You can send your tweets to email by using the new Twitter-based service called TweetToEmail.
What is TweetToEmail?
Is a free service help you to send your tweets to your non-twitter contacts in their Email inbox, It's another application of integrate Twitter with another service Like Ping.fm do.
How is it work?
It's very simple, first you must sign-up on the Website and integrates your Twitter account.

Then Second create a contacts group give it a name and assign a HashTag for it from the list.

Third add contacts (Name, and Email) to this group.
The last thing you need yo do is to put that HashTag in the tweet you want to send to group's contacts email.
Let's give it a test
I add my Gmail email into group called Me and assigned #TM2 HashTag to it,

then I send a test tweet with #TM2 in it,

and *Boom* this tweet got into my email inbox.

One missing piece
The information on the Website is few, just a 3 steps with description I advice the Co-Founder "Ali Bin Yahia" to make an image review for the service to be more clear for any person.

Conclusion
It's very good and useful service in some situations, I encourage you to give it a test there's nothing to lose, and follow @tweettoemail for the latest information about the TweetToEmail service.
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