There’s no real solution for selection bias if you don’t have other respondents of that group. With something like race or education, you have their demographics and can upsample those that do respond. But it the group is specifically defined by not wanting to respond to polls and that comes with biases to the poll questions, you don’t have anything to upsample.
Now whether such a group is really a distinct entity out there that can’t be kind of approximated by people who share other traits is the question. If white conservatives have a spectrum of trust in pollsters and the non-responders would just answer questions the same you’re fine. But it those with low trust are also more anti-vax or some sort of distinct population like an insular community, you couldn’t just approximate them with people who did respond.
There’s no real solution for selection bias if you don’t have other respondents of that group. With something like race or education, you have their demographics and can upsample those that do respond. But it the group is specifically defined by not wanting to respond to polls and that comes with biases to the poll questions, you don’t have anything to upsample.
Now whether such a group is really a distinct entity out there that can’t be kind of approximated by people who share other traits is the question. If white conservatives have a spectrum of trust in pollsters and the non-responders would just answer questions the same you’re fine. But it those with low trust are also more anti-vax or some sort of distinct population like an insular community, you couldn’t just approximate them with people who did respond.