Kindle as information display

Hello,

I'm thinking about adding a kindle as a display to my self built smart home assistant. I think it would be a good fit because of the low power consumption and the epaper display. I just want to display some information like the weather or a calendar which does not need to update often. I am planning to do this by displaying a simple webpage on the kindle.

Is there a way to display a website in fullscreen mode without the device going to standby? If not, is it possible to do this after jailbreaking the kindle?
Which kindle would be best for that?

Thanks for your help!