First sign in with your previous Google account on the FRP screen and after that click on "Add new account" on the dialog box that appears the there there would be option to skip account setup.Just the basics, like in openGapps nano package. I'm fine with minimal Google services setup.
Once you are in the phone without any internet or account go into settings and factory reset from there, It will erase the FRP partition and you are free to do anything after your phone reboots into the setup wizard.
For the barebones feel you should instead disable all unwanted Google apps and services using adb or use another rom like Lineage OS or POSP which doesn't have gapps like default.
Roms like Pixel Experience, Evolution X, Pixel PlusUI are all about adding more to the stock pixel phone experience which means a lot of Google services