Id avoid ring lights and go for a panel light, assuming you can afford to spend a bit of extra money.
Panel lights offer softer light, which is less harsh on your eyes due to their design.
You lose that circle in your eyes and get a square, but its worth it for streamers imo.
https://www.amazon.com/dp/B07PMSBLTH/ref=cm_sw_r_apa_i_FBgQEbREQ95QC
You need a mount for this model, of which you have several options.
This one mounts typically on a rounded monitor stand.
https://www.amazon.com/dp/B00DJ5XH4O/ref=cm_sw_r_apa_i_nDgQEbHM6WQMQ
You can add a gooseneck to that if it's too short for your needs
https://www.amazon.com/dp/B07KGHCSN5/ref=cm_sw_r_apa_i_fFgQEbC3NMPXV
Or you can mount to the wall
https://www.amazon.com/dp/B000IDCDZY/ref=cm_sw_r_apa_i_IHgQEbBAC2769
Then there is the light stand from the floor
https://www.amazon.com/dp/B074VMTP68/ref=cm_sw_r_apa_i_jJgQEbE26ZM4K
If it has a 1/4 - 20, it's compatible with most lighting gear actually. And cameras. And tripods. Mix and match to your needs.