When looking at a thing in 3d space, how much of that object is visible depends on how far away you are from that thing. You can see this difference between google maps and kagi maps, where Kagi shows a lot less of the globe:

Excuse my drawing skills, but the difference is essentially this:

Here's a rendition in blender of the same effect:

But even better: throw out perspective and just use an orthographic projection:

Which looks like this:

This way, you can use a globe, but still see a decent amount of the map