You could prime with Starsan for example, then run beer. But once the beer hits the pump head some Starsan will get mixed in. Brewers who use the 10" cartridge filters run Starsan first, then purge all that with CO2. Still, some Starsan gets mixed in with the beer, whatever remains in the filter material and pump head. Even a pint of Starsan in a 5 gallon batch is hard to detect, but it's best to keep that extra "ingredient" as low as possible.
Commercial breweries have whole different setups, and given their volume, they don't mind wasting a keg (15 gallons) or more on priming their pumps, filters or centrifuges. The key is to keep the O2 level in packaged beer below 0.1 ppm for improved stability and prevent staling/oxidation during its targeted lifespan.
Do you have any (beer drinking) friends or family who could drive you or get your CO2 filled/exchanged? Get a 20# tank, you'll be good for a year or longer. I just exchanged my 20# after using for almost 2 years, losing the last 4 or 5 pounds from a possible small leak in a keg. Still looking for the exact source of that leak...