Most of the cheaper capture devices on Amazon use the same limited MS2109 chipset, only capturing high quality YUV video at low framerates unless you drop the resolution. Their highest framerates are limited to MJPEG which OBS can't seem to handle.
I have this one, which at least has HDMI pass through and has mic input and a headphone jack.
https://smile.amazon.com/dp/B08XJYH9C8?psc=1&ref=ppx_pop_dt_b_product_details
Notice my review is only 3 stars.