Indeed, made some preliminary tests under RHEL 9 (Rocky, etc) for example and if you're used to compile HAProxy from sources to use specific OpenSSL versions, testing "aws-lc" is fairly straightforward. Their BUILD instructions and INSTALL file from HAProxy also help.
There is also a RHEL/CentOS 8/9 + QuicTLS / AWS-LC package available to test out or start with.