[dbeley]

A refurbished Pixel 4 will fit your budget and is still a great midrange phone

[bpye]

But it won't receive even security updates going forward [0]. Whilst LineageOS might be able to patch any issues in Android itself, any vulnerabilities in a binary blob will not get fixed.

0 - https://support.google.com/pixelphone/answer/4457705?hl=en