Well...we are hn so we use a website

https://getchipdrop.com/

Tree surgeons/arborists are always trying to get rid of chips

An acre? Charles Dowding is a market Gardner, not a farmer, but he has done it on a scale of a few acres.

His compost is a mixture of

1) homemade. When you are trying to expand a plot growing stuff to compost can help. Grass clippings, waste from the garden etc. This is a minor source of very good compost.

2) woodchip, see above

3) green waste. This is other people's garden waste, normally composted poorly by a local authority. You want it some time before you use it so it can compost more fully

4) farmyard/ horse manure

5) spent mushroom compost. Actually I never saw him use this, but it is very common.

One farmer I saw said the secret of no till is 'other peoples carbon', you are correct. But some people have carbon to get rid of.