It seems the only specified CTR mode ciphers in TLS are all GCM based.
GCM ciphers run
AES-CTR and do authenticated encryption with a MAC based on Galois-field arithmetic ("GHASH") - and the latter seems to be difficult to get right in software (side-channel attacks, constant time) or require CPU hardware support (e.g. Intel AES-NI / PCLMULQDQ) which in turn might be manipulated/weakened via microcode updates/implants.
On the other hand
HMAC-SHA256 seems relatively simple to do right in software and when used together with AES-CTR and a encrypt-then-MAC scheme.
So why are there no modes like
The closest I could find is this unfinished, expired IETF draft.