There isn't one.
Minimal shutter delay typically requires a dSLR. Or a film camera. :) Some mirrorless bodies have shorter shutter delay than P&S cameras, but depending on the model, it can still be noticeably longer than with a dSLR. And relatively new dSLRs don't come for $150. And wi-fi is a relatively recent feature.
A used dSLR/film camera is probably the only path for what you want, and even then, your budget is kinda ridiculously low.
Understand that for a new dSLR setup, you typically need roughly $1000: $500 for the camera and $500 for the lenses. Adjust used prices accordingly.
I'd recommend giving up almost-new & wi-fi; giving up minimal shutter delay; or quadrupling your budget.
As for a "standard size USB port", nearly all cameras have either USB mini-b or Micro USB-b ports. Both of which are standards. I've never seen a digital camera with a USB A-type port. But a lot of us use card readers to transfer images from a camera to a computer, not a USB cable. Only a handful of digital cameras charge via the USB port--most typically come with a dedicated charger for the battery pack.