We can always look at images or whatever if we want to get an intellectual sense of the scale of things. I think the advantage of a model is that you feel immersed in it, and I don't think you do at this scale.
It's challenging! It's hard to find a location and a scale which gives you this human sense of the sizes involved. At most scales, you have to make the planets pinpricks in size. But, especially for the inner system, you can make it work.
EDIT: Here's I think something that works.
Oh... and of course put in where Voyager, Pioneer & New Horizons probes are these days - after 40+ years of travel at ~15km/s.
The sun's radius is about 696,000 km, so 7x10^6 meters, so at 3.25 x 10^9:1 scale, it's about 2mm across. The planets would all be specks. You could see orbits, though they'd be small. And that's if you place your alpha centauri model literally "on the other side of the world" from your sol model.
I like that this actually gives you a sense of real meaningful distance and size. This is a sun that's still big compared to humans, and a distance to the earth that isn't negligible.
And then a real lesson about how insanely larger the solar system is when you try to get out to Jupiter and beyond.