Better would be trapping them in a non-grinding system.

If you have a wet-dry vac, adding water + soap to the vac first will kill the bugs ingested. That should also help minimise the resulting stink, though you'll want to empty out the vac.

The vac approach is largely recommended only when you've found a large stash of the bugs.

Go very light on the soap if you do that, or you will have a stream of foam pouring out of the exhaust of your Shop-Vac. Best to use a low sudsing HE laundry detergent if you want to try something like that. Do NOT use liquid dish soap.

The key element so far as I've seen appears to be detergent, which suggests that the critical element is probably something that breaks down fatty acids.

I'm suspecting this either breaks down critical messaging / management chemistry, or carapace / cell-wall functions. I've had little luck determining or finding what the specific lethal mechanism is, though the method appears effective.

Upshot: a non-sudsing detergent or other fatty-acid denaturing agent should likely work. Formula 409 might work, ammonia is another possibility, though that in a shop-vac will have its own atmospheric issues (though the smell should dissipate in a well-ventilated area).

Or perhaps a borax/water solution.

Possibly. That's worth testing and only takes a small sample of borax, water, and a sacrificial stinkbug or ten.

I'd arrived at the findings above through direct trial, after attempting a few others -- alcohol also works, though it's much more expensive.