Discula destructiva on Dogwood

I recently bought a house that has a majestic dogwood out front. We noticed it wasn't doing so hot. The leaves have dots on them, many leaves browning at the tip.

I did some digging. Looks like a case of Discula destructiva. And a bad one at that. I can hardly find a leaf that is not afflicted. I feel we might lose the tree.

Has anyone experienced this before? Were you able to recover the tree? What did you do? I'd like to refrain as much as possible from using fungicides. Heavy pruning and herbal sprays perhaps?

And, furthermore, if we do have to lose the tree, what should I do with it's remains? Can I compost twigs for use in my orchard? Or is that too risky? I can't find any info on whether it can hop from dogwood to another plant family.