Yeah, homing missiles arent really a good simulation for bows.
Gears of war 2 had one of the best in-game bows imo… You would hold down the fire button and the bow would tension, giving a prediction of the arc of the arrow. You would then release the bow when the path intersected the target. I’ve been thinking for a while that a ghostly prediction would be a good ranger spell or something. Oblivion and skyrim both have similar methods though you are dependent on waiting for the draw.
One thing which might be interesting would be a slider on the right hand side that acts a little like a pinball machine… If you drag the slider down towards you and let go… That would be equivalent to tensioning the string and releasing. You can also leave the bow tensioned at a point if you are waiting to shoot.
Golf games have a variety of power-related controls you might prefer more. Mario golf has a power slider and the power meter moves between weak and powerful (which would likely be very frustrating!)
For melee I was always a fan of the daggerfall drag mouse to drag sword in a direction, though dont know whether that would be as good on a tablet as it might get in the way of the moving controls during a fight.