Can the hepatitis b or c virus survive outside of the bloodstream?

Unfortunately, yes: Both hepatitis b and c can survive for days, and perhaps even over a week, outside the body. This is why ever sharing any paraphernalia, including cookers, for drug use could lead to infection. Getting "stuck" with a needle, or reusing needles for injections like testosterone or vitamins, can also lead to hepatitis b or c injection. Always be careful at tattoo parlors, piercing places, etc.