I ran over a bees nest in the ground many years ago when I was visiting a friend's farm. When I got out of the car, I was being attacked by bees so I ran like heck to his house (stung a few times). The car windows were 1/2 open and the car filled with bees. I left it there overnight and the next morning (things subsided) we filled the inside through the windows with bee killer spray bomb. Dead bees were coming out of the vents for a few days afterward and scared the heck out of me and the (at the time) girlfriend.
Spiders? No help from me if chemicals are not to be used.
Spiders? Don't let my DW know. She'd likely jump out while driving.
When I was a kid logging, actually skidding trees out with a dozer, and another guy cutting trees it got weird. When I came out with a couple of trees his saw was ideling. Long time, a half an hour later he's in the same place and his saw is still idle?
I ran the machine down there; expecting the worst. I thought he'd felled a tree on himself and couldn't call for help.
He'd actually cut down a bee tree, had his saw running rich to smoke the bees. The guy had no bee equipment! He harvested about half, eventually cutting the hive portion off. I'm sure they swarmed afterwards.
He shared the bounty with the crew.
Unfortunately my vote would be poison. Only because of DWs phobia.
Oh Lord, I'd forgotten about the black snake my brother put in my glove box at our mill. He knew I kept my Camels in there and would reach for a smoke! I did.
Later in life I'm afraid I brought a small snapping turtle into work and put it in a guy's top desk drawer. He didn't see the humor!
The turtle ended up in the "trunk" of my 74 Beetle. The innovative snapper crawled down next to the firewall! It took a half a day to get him to bite a wooden spoon and pull him out!
No creatures were permanently hurt, however it's probably not the best idea to do that.