The number of inches in one miles is about the same as the number of astronomical units in one light year--so if you made a model with the earth one inch from the sun, a distance in miles would be equivalent to a distance in light years--so Alpha Centauri would a bit more than 4 miles away, Sirius 8.6 miles away, Betelgeuse 427 miles away, and Antares 604 miles away. Deneb, the most distant of the first magnitude stars, would be more than 3200 miles away.
To put that in perspective, the distance between the earth and Deneb on that scale would be almost as great as the distance between Hillary Clinton and the truth.