I've seen some quite good examples of this in some things I've read. A poem I know was written incorrectly in order to force people to read it in a particular accent[1]. Also, "Feersum Endjin" by Iain M Banks has some chapters written from the perspective of one of main characters written in non-standard English[2].

    Woak up. Got dresd. Had brekfast. Spoke wif Ergates thi ant who sed itz juss been wurk wurk wurk 4 u lately master Bascule, Y dont u ½ a holiday? & I agreed & that woz how we decided we otter go 2 c Mr Zoliparia in thi I-ball ov thi gargoyle Rosbrith.

[1]: http://www.tomleonard.co.uk/main-publications/intimate-voice...

[2]: https://en.wikipedia.org/wiki/Feersum_Endjinn