This doesn't address the OP's question, but it does address the problem of too much discharge:
Somehow you have to collect the discharge.
If there's too much rotting material the grass is going to have issues with it and it's unhealthy for pets, humans, the spiders that clean grass, and it can create issues with bugs and then animals that eat the bugs (can, not will). It depends on how much material, the type, and the duration it's in the lawn, but leave it long enough and it can lead to issues.
There are two things I found interesting: A sweeper and a vacuum. Sweepers pick up leaves, sticks, dog poop, deer poop, any kind of poop really, stones, frogs, mice (maybe), and can be handy for picking things up without having the mower deck mowing so can save on blade ware and sharpening. A vacuum is typically used when mowing because the lift of a sealed system is needed, so the blades need to be rotating (typically) and mowing/sucking happens all in the same pass. I'm not saying one is better than the other, just get the one that makes the most sense if you're going to get one because they're spendy.
I have a vacuum and a girlfriend, which along with a shovel covers all the bases. I pick up the animal waste (with the shovel, that's what the shovel is for), she picks up the sticks, and I mow --and vacuum-- the lawn. My lawn looks great by the way, which is likely why the deer poop on it so much--which reminds me of an old saying, or question, or something old and now dead people used to ask: "Does a bear sh!+ in the woods?" No, no they don't. The sh!+ in my lawn, and I have to pick it up.