The trusty Weak Anthropic Principle
In answer to the question: a model of the universe in which there is a universal maximum speed limit makes more sense than any other.
Why it's 3 * 10^8 m.s^-1 ... well, that's down to choosing the metre as 1/100,000 of the distance from the Pole to the equator, and the second as 1/(365.25*24*60*60) year, isn't it
Astrophysicists do back-of-an-envelope calculations in a system of units in which
c=1. Which is sensible.
One light-nanosecond comes out as about 0.3m (a foot).