Epic runs day trips. Both Bimini, Tiger Beach, and Oceanic Whitetips at Cat Island. Stuart Coves seems to have pulled out of West End, leaving no day boats at West End. There are 3 dayboat operators in Bimini, Neal Watson, Epic, and the house shop at Big Game Club. All 3 US liveaboards (Spree, Dolphin Dream, Shear Water) leave from the US and run 6 day combo trips (3 day TB, 3 day Bimini).
All is up in the air for 2015/6 winter. The day operators are furious at the liveaboards, permits have been denied to some operators, and heated letters are flying around. Spree has a 2015 permit, and R/V Kate has a permit. The status of other permits are unknown to me.