To achieve both, there is the K180/5-7 though leans towards the weaker end of pistols. Dealing 7 damage when upgraded. It achieves both super spammy when dual, and agile shooter when held single. The slight downside is that the single K18/5-7 has a clip size of 6. When dual, it's a clip size of 12. You are sacrificing damage for both mobility and rate of fire. If you want a stronger but similar weapon, there is the Colt6 which is categorized as Burst Berserker. It has high rate of fire, good damage (8 upgraded), low freeze rate, but low clip size and annoying reload freeze.
Note that the current weapons you're using - Taurus and Ap7 - do not match up with Agile Shooter. Taurus is considered the heavy hitter, and Ap7 is focused on killing enemies fast. Making it a mix of heavy hitter and super spammy. The ap7 has poor mobility but has high rate of fire and good damage.