Unless you are managing sward for cutting, "too much brown" is a common problem in most ecosytems. If it is leaves you are lucky.
Particle size governs decomposition rate in addition to nitrogen. If you don't use a chipper, a sharp machete (fine single cut file) is a great tool for processing coarse mulch. A dull machete is not. I add urine directly to coarse woody mulch piles. This is a coarse rural "look". I generally make "compost piles" in locations for future plantings.
Here's some other ideas.
https://permies.com/t/15706/permaculture/Managing-flow-wood-brainstorm
You could also stockpile, and then hire a tree service to chip periodically if that fits your money vs. time position on the continuum.