Best practices for using taps while avoiding cross contamination
I often use the method described in mech's answer - using food-grade gloves when handling raw meat. Both at work and at home.

A secondary option that I often employ is the overall cleanability of taps. Just grab those taps with your raw meat hands with impunity. Give your hands a quick rinse then lather them up with extra soap and scrub. Then scrub the taps. Then rinse everything again.

There are also taps that can be manipulated with elbows and I have heard of heat sensitive taps that respond to touch as well.

Just remember the raw meat can't hurt you if you just clean up afterwards.That might include the taps you used when cleaning up.