I'm not in the US, but I assume graphene is seen as communist witchcraft over there. Lineageos is probably much more lowkey. A googled phone would not raise any eyebrows at all.
I hate google, but if you are worried about it, a googled 2nd phone with a new sim/number and a new google account wouldn't be the end of the world, especially since that set up could be temporary, tons of phones can be lineageos (my 2023 motorola g84, and 2018 sony xperia xz2 for example)