We've been using Netlify for this on other projects https://jupyterbook.org/publish/netlify.html, and it is very nice to have

It's free, but requires an email account to setup and charges a subscription for multiple team members. So we have an "uwhackweeskaccount"@gmail.com account that several people have access to. I could add the site under that same account for now or does xarray already have an email account like that for other services?

Netlify requires a bit of manual setup to connect the github app (probably similar to reviewNB), but then the action for PRs is pretty straightforward
https://github.com/uwhackweek/jupyterbook-template/blob/main/.github/workflows/netlifypreview.yaml

    - name: Deploy Website Preview
      uses: nwtgck/actions-netlify@v1.1
      with:
        publish-dir: './book/_build/html'
        production-deploy: false
        github-token: ${{ secrets.GITHUB_TOKEN }}
        deploy-message: "Deploy from GitHub Actions"
        enable-commit-comment: false
        enable-pull-request-comment: true
        overwrites-pull-request-comment: true
        alias: deploy-preview-${{ github.event.number }}
      env:
        NETLIFY_AUTH_TOKEN: ${{ secrets.NETLIFY_AUTH_TOKEN }}
        NETLIFY_SITE_ID: ${{ secrets.NETLIFY_SITE_ID }}
      timeout-minutes: 1

here is a simple example where each PR gets a URL to review snowex-hackweek/website-2022#23, after a certain amount of space is used up those URLs start to get overwritten i think

I should clarify, the above approach is for when JupyterBook is built via github actions as is currently done. Other hosting options have integrated PR previews via GitHub Apps. But the drawback as far as I understand is that the build happens on external resources (Read-The-Docs, Netlify) rather than via the GitHub interface on the more configurable Actions runners.

Closed by #175