My two main ideologies (futurism and environmentalism) don't play well with the idea of physical media when it's not necessary. Business cards, for example, are totally unnecessary in today's digital world, but they're often a beautiful and helpful token to give out for people to keep and so the idea remains attractive to me.
To get around the environmental limitations of normal papers I could instead opt for a recycled paper series such as the Nomad range from G.F Smith. They're beautifully, unapologetically used and reused, with dots and specks of colour within their various colour options. They'd also comply with almost all of my current design options, and because of their nature, colour conflicts would be okay.
Taking it further, I could even just extract paper from news articles or pages that interest me and put my own mark on them.
Another solution is to utilise the VR resurgence; particularly the Google Cardboard initiative. I could create my own branded variations of the headset with my own app and send it out to people. The app could be a simple about/contact me sort of app, or it could be more like a game. It would start in a forest perhaps, but then you'd witness a rocket launch and the forest would clear to reveal a solar farm or a future transportation system.
Additionally, I have a long term vision to create an app which would allow for the digital realisation of business cards. I sketched some concepts below. It would have to be an app so beautifully engaging and useful that people would actually want to use it. The cards would be tactile, tangible and manoeuvrable, potentially having the ability to be creased or spun. You could pinch to zoom in and out of them, perhaps tapping on lines of text to open up a website or launch a call.