Hi, I think you could say: "I have regular correspondence with native spanish speakers".

first of all I would write like this : Me escribo de forma regular con hablantes nativos de espanol about your question: "Me escribo de forma regular" in definition would be like you and the native spanish speakers often write each other de forma regular is like consistently often.

Escrito or escribo? Escribirme is a reflexive verb meaning to correspond in writing. I don't think escritorse is a word? De forma regular = regularly, or on a regular basis Okay? :)