`ss_render_range` is a convar that exists on the client and will adjust the range in which they draw. Setting it to a higher value should increase the render range.

Could you possibly record a video of what you're seeing? It's quite likely you're running into something like https://github.com/Cherry/3D2D-Textscreens/issues/15, which is a result of the prop we use behind the scenes. There's technically a solution, but it has a performance impact that I'm not really happy about unfortunately.