HA! Voice activated. That's pretty funny.
I haven't seen the "mechanical bottle jack" from an older F-truck, but based on the description, it must be functionally the same as the factory jack in my '98 Dodge pickup. Form factor looks like a bottle jack, but it has a socket for winding rather a lever for pumping. I mention this as a second source, in case one is fresh out of older F-trucks but does have some older Dodge trucks sitting around.
If the kids don't want to "camp out" in the tent, you could use the tent instead. Definitely don't go without the tent.... there are some places where you just don't want to have a mosquito bite! The song "Check You For Ticks" comes to mind, as well.. Maybe that's a good cover story in case the kids inquire what you're up to.