filling tires with propane seems like a bad idea, but it would be hard for a spark to form inside a tire.... Im sure propane is bad for rubber.
what even it the benefit for using propane over co2 or nitrogen? All im saying is that there are safer alternatives, but they cost more.
And i want add one more thing about small compressors. If you go that route you need to invest in a good quality compressor or else down the road you will be mad at yourself.I went with a high volume compressor at first. It cost me about $50. At first it would inflate all my tires in about 12 minutes, but after using it 3 time a week ( i wish i had the time to go wheeling that much right now

it started to slow down. By the time i actually decided to get rid of the stupid thing it was taking about 50 to 60 minutes to refill 4 tires.
When i went to buy something else i was going to get a viair tank and compressor. I figured that a high quality compressor would last. They problem that i found was that those setups as more pricey than a co2 setup.
So i am just saying that you should go with what will be convenient and reliable. either a good OBA setup or Co2. I know both options cost some money but when it works over and over and over again it will be worth it, i promise. I purchased a Co2 tank from a welding supply store that does tank exchanges. So when my Co2 tank is empty i just drive over there give them about $15 give them my empty and grab a full one. There is no wait to get it filled and they tanks are thiers so i never have to worry about certifications on the tank.
And the big tank inside the truck like what you are talking about doing would barely be able to fill your tires and its bulky. If you knocked a tire off the bead or something then you are SOL. Think worst case scenario on this one
just my 2cents