In the very unlikely even this happened, despite what the antis claim it is very, very rare, all you can do is contact the game dept in the respective state and let them decide what to do with the cubs. The hunter doesn't have the legal right to decide.
The only time I've heard of it happening in CO when they had a spring season, the DOW caught the cubs and turned them over to an outdoor education project called Outdoor Lab which was affiliated with the high schools around Denver. They ran a learning camp near Estes Park which schools sent students to for a week long education experience. The orphaned cubs were kept in a big enclosure and became sort of camp mascots.