Yea well its possible to get the carrier somewhat working with the setup you described but i seriously doubt you can stand against a tank/mech who knows what he is doing(i know since one game i was that tank who knew what he was doing and i raped 2 bc's with turret play over and over xD).
If he is surrounded by creeps your drones dont focus fire jack while he rapes you with his weapon systems. You are slow as hell AND have less hp/shields than a mech/tank.
Keep in mind everyone can purchase shield leeching stuff + regeneration so that is no advantage at all. also against a machinegun wielding tank turrets last mere seconds.
Also for your setup you need a Battlecruiser but by the time t3 vehicles hit the field most of my games are over anyway.