If UA will interline your bags that is your best bet. You can make it to the interisland terminal staying airside following the signs, it's a 20 min walk.
Otherwise you will have to claim your bags then walk to the inter island terminal and recheck them. Minimum checkin for inter island is 30 minutes, You also need to be at the gate 30 minutes prior to departure. You can check in up to 24 hours prior to your inter island flight which could save you some time. Also if you're a HA Hawaiian miles member you pay $15/first bag vs $25/first bag & $20/2nd bag vs $35/2nd bag