Seconded. I made the step a few months ago, too; I turned off all "last seen" and "read"-notifications as well as uninstall my mail client from my phone [0]. I also intentionally did not respond as fast (at least on cold conversation starts). Once people get used to the fact that you might not respond in a few hours, they stop worrying so much about it when it happens.

[0] I know I still have IMs, but mails tend to be things I need to do at a computer and seeing them only stresses me with things to do for later.