Yes, it is important to keep enclosures of sick snakes clean, hides, water dishes, bedding, etc. I do not know the likelihood of reinfection for RI's specifically, but it is always a god idea.
I believe that a bleach solution is going to be fine. I will soak my tubs with all the hides, dishes and whatnot in a 5-10% solution for 15 minutes before vigorous rinsing until I think the bleach is completely gone. Then I will usually rinse several more times to make sure.