Harmon said:
Perhaps I should consider travel time for 50 AUs and not worry so much about the 100,000 and consider placing a Kuiper like belt within the system, though that kinda of restricts some of the campaign ideas it does not take out the whole campaign.
The understanding that this is a Firefly like campaign is indeed true. I have wanted to run this campaign sense the early to mid ‘90s, when Firefly came out I really wanted to do it and it changed a lot of what I was thinking, but for the most part its still a space smugglers/mercenaries campaign that takes place in a solar system not of our own (not Sol).
If you want a Firefly-style campaign, don't bother with the math

Honestly. Just decide how many planets you want, then make up a grid that tell how far, in days, each is from the other.
Use the gravity drive that Firefly uses. Inside an atmosphere you can only go so fast anyway before control becomes an issue, anyway, so say that it limits you to Mach 10. Outside the atmosphere you can really cut loose. With the travel times you want, you technically have a drive capable of going interstellar but the catch is that the drive only performs at all when it's within the gravity well of a star - it only works out to, say, 1 ly from the primary.
With a solar system as big as you want, you probably have more than one star in that 'system'. It's a complex arrangement but it can work (the Alpha Centauri system is set up kinda this way if I remember correctly; multiple stars within a lightyear or so of each other). The stars are juuuust close enough for the Firefly Drive to bridge that gap and do it in X days. We'll make it eaven friendlier so that tons of people would have wanted to settle here.
This way, also, you can have multiple planets inside the habitable zone (you can grow and shrink the habitable zone slightly by varying the spectrum of the star). Most of the planets in the Firefly 'verse are (marginally) terraformed moons if I remember correctly, so you can have multiple habitable moons orbiting, say, a couple of close-in gas giants. With three stars orbiting each other around a lightyear from each other, each with it's own planetary system, that gives you something like nine habitable worlds (in the venus, earth, mars bands; lets assume that Bode's Law really is one) at worst; more if you put in one or more close-in gas giants and terraform some of the moons (some might not have needed terratorming).
They used to think that gas giants wouldn't exist much closer to a star than Jupiter does or else the gas would boil off into space. I'm pretty sure we've discovered otherwise. We've also discovered supermassive gas giants orbiting other stars; it was once thought that a gas giant couldn't get much more massive than Jupiter or else it would ignite into it's own star. Apparently that's not quite true, either.
With the triple star arrangement in a triangle, you could also have a gravitational 'dead zone' in the space between them; a 'sargasso sea of space' where all the rogue bits of material and dust and such collect; there could even be room for a dark frozen 'rogue planet' in there. Perfect for a pirate or Reaver base, or area to hide from The Authorities.