You are entering an interesting position. I wish that your school could call your course something like, Technology Literacy or Digital Literacy, to be more aligned with Common Core and other standards. Maybe you could petition for this!
I like your ideas to work with core and co-core classes and I think it is the right direction for you to go. You will likely find some teachers begging you to collaborate with them. If you are met with some resistance, then work with the willing for a starting point.
I would look at the technology standards for Common Core.
www.corestandards.org/assets/CCSSI_ELA%20Standards.pdf
Look on pages 59-66 of the PDF
I would also look at
www.iste.org/ for the NETS standards, and
p21.org/ for a framework for 21st century skills and the Common Core.
We are developing a K-12 Tech Literacy in our school district. When we get a good draft of our work, I will share on this forum.
Good luck to you- get out there and start researching!