Even just some basic Behringer stuff does well for spoken audio.
I don’t bother to keep the mic out of frame though; it never crossed my mind.
My mixer is a small Behringer QX1002USB. Two mic inputs, parametric EQ and one-knob compressors. You can crank them and get that radio host imposing bassy voice, if you want.
It's amazingly good and versatile for such an inexpensive piece of gear.
Most of the time, those mics and the mixer just live in a bag in my closet, so I thought "why not use them?"
The sound quality from an AKG D5 (a decent, but not fancy mic) through a small mixer with a bit of compression applied is just miles ahead of anything you could get from a headset or a webcam mic.
It is a little hard to avoid getting the mic in the picture, but with a bit of creativity, it works well enough when placed just above the top of the frame.