So with the new LP section of the site, I understand that it is made for video LPs. However, what about the possibility of screenshot or hybrid LPs? I feel like that there may be some of those in the future, and I believe I may do some as well. What would a person do if they were to do a non-video LP in regards to the LP Archive section?

While extremely niche and most likely never used, you can created articles within the LP section using the article creation tool.

Just specify that the Content Type is a Let's Play and you should have all the things you need to do a screenshot LP and will show up on the site as desired.