"Space Seed" suggested an evolution: the larger (but still tiny next to Kirk's Enterprise) DY-100.
...With a crew (passenger) complement of 84 already.
Whether cryosleep would increase or decrease packing density is arguable. Shorter hops inside Sol system might still be long enough to require massive onboard supplies that would eat into the passenger spaces (until the passengers ate into them) - but OTOH going without cryochambers might mean going without lots of bulky equipment.
And whether the Valiant
had cryosleep or not, we just don't know. It went out of fashion in insystem
travel in 2018, but there are plenty of references to this or like procedures in interstellar warp travel at least until the 2210s ("11:59" IIRC), with occasional use by our 24th century heroes as well.