I have a French friend who texts me with an accent. If it was anyone else, I would assume they are just making fun of themselves but this guy is not one to do so. He also has the most amazing ability to make his text messages sound just as irrationally and passionately upset that only the French can get.
"No, no, no, no...it is u woo is ze opeless one, I ave ze next 3 evenings off..."
I really quite like it.
I think I might start texting in Swenglish: "Hallaaa. My neim is Inga, ja!"