While a lot of people debate DNS-over-https (and it’s dependencies), IETF has a specification for DNS-over-QUIC on it’s standards track.
This document describes the use of QUIC to provide transport privacy for DNS. The encryption provided by QUIC has similar properties to that provided by TLS, while QUIC transport eliminates the head-of-line blocking issues inherent with TCP and provides more efficient error corrections than UDP. DNS over QUIC (DNS/QUIC) has privacy properties similar to DNS over TLS specified in RFC7858, and performance similar to classic DNS over UDP.
Source: Specification of DNS over Dedicated QUIC Connections