On permethrin, I am inclined to try the soak method described here:
https://sectionhiker.com/permethrin-soak-method-guide/

I have not done so yet, so I have no comment on that article. Unfortunately I already bought some that has some petroleum distillates in it, that article suggests (pasted):
You want to avoid buying permethrin with Petroleum Distillates in it.

But, one of the comments posted after the article said (pasted):
It stinks at first, but once the distillates evaporate, the vast majority of the smell goes away. The petroleum distillates are what allows the permethrin, which is not soluble in water, to dissolve. If you use a brand which does NOT include petroleum distillates, be sure to shake your spray bottle or stir your soaking tub frequently, otherwise the permethrin will separate out (since it’s not a true solution).

So, maybe I bought the right stuff and just need to hang the clothing in the garage for a few weeks to air out?

There also are a lot of other good comments posted after the end of that article.

ADDENDUM - June 14, 2025:

Decided to just spray on the Permethrin which I have always done before. I still had an almost empty spray bottle from Sawyer, so added half an ounce of the 10 percent concentrate to the bottle with 10 ounces of water. And sprayed up a couple pairs of pants and shirts for my backpacking trip in August and September. That was easy enough that I doubt I will try the soak method.