Gosh James, we are slipping down a path of subjectivity...
This is a cultural, as much as, good practice perspective. For example, in Japan, as they have for thousands of years, spread
urine, and black
water with little compositing (other than what it does after spreading) into gardens and rice paddy. I compost(ed) with meat and a annimal carcesses. So this is as much a "choice" of what to do, as it is, "what do I do that works."
I think if you fold in 30% leaf litter (maybe a bit more) and other organics you could get your heat back up. Do you have a supply in your area for some horse, cow, goat, compost to perhaps augment your compost pile. Each system we develope does so take on a life of its own with us, and how we interact with it.
Not much help, sorry. I am sure others will pop in soon.