Praise be to Allaah.
There is nothing wrong with sending Qur'aanic messages via e-mail or SMS. Rather this is the kind of deed for which a person will be rewarded if he intends thereby to call people to Allah and encourage them to think about and ponder the Book of Allah, may He be glorified and exalted. Allah, may He be exalted, says (interpretation of the meaning):
But warn by the Qur'Ã¢n, him who fears My Threat
And Allah knows best.