First, I would avoid using Polysporin or any antibiotic perpetration for routine use. I tend to avoid even using it on wounds unless there is reason to believe it is likely to get infected. Infections come from two sources: External to the person, but also fro the person's own skin. If you routinely expose your skin to Polysporin the natural, and ever present, flora on your skin will be resistant to the antibiotics in Polysporin, specifically bacitracin, neomycin, polymyxin-B. If/when those bacteria make it into any wound the Polysporin will be powerless. IMHO it would be better to avoid spreading the antibiotics so widely. I prefer to strangle bacteria in their cribs while they are helplessly naive. It gets harder once they have tattoos, attitudes, and switchblades.
Vaseline and lanolin work. Generic petroleum jelly is usually just as good. You might also try the nurses secret weapon, A&D ointment. It is essentially petroleum jelly with fish oil that speeds healing and seems to be step up from Vaseline for dry skin and protection from the weather. I've used it instead of antibiotic ointment for cuts and burns. Seems to speed healing a bit. No antibiotics to worry about and if the wound leeks like it might be infected I can always switch to the standard triple antibiotic mix.
A&D ointment is also closely related to hemorrhoid creme and is similarly good or soothing red and inflamed tissues.