There is a benefit to contributing to other people's platforms as a writer. You create your own network and gain the ability to provide publication services for other entities. You get an author bio that you can use to position better on Google and to get backlinks. There is a benefit to contributing without a promise to get paid. I get paid by my paying clients, and if I can write to present my opinions to a wider audience I would most definitely appreciate that opportunity.
My main concern with this is that the OP does not have a really good pitch, doesn't explain a lot about his/her website, and if that is rectified I would be looking at writing a nice article for him/her.