Oversized evap coil - what to do?

You can slow the blower speed down if its a 4 speed motor to medium high instead of high in the evaporator (probably in attic on the unit circuit board) and this will cause unit to run longer as it doesn't cool the air as fast. It should be as easy as swapping the fan lead for cool from high terminal to next lower speed. I did this in my house and I have noticed a difference in condensation on ceiling grilles. My units are probably a little oversized, but I think you can under charge the unit with freon and do the same thing.

You have an undersized condenser

Are you sure it's a 2 ton condenser? I'm having a hard time believing it really is a 2 ton if you got through this summer. That or either it just stayed on 24/7

Does the condensing unit model number have a “24” in it (indicating 2 ton unit) as opposed to 30, 36, 40, or 48 somewhere in the model number?

That you state the system cools down the house quickly and is not removing enough humidity (have you measured relative humidity in the house?) in itself suggest that unit is not undersized. Just double checking to make sure that you’ve correctly concluded that condensing unit is 2 tons as that just doesn’t seem like a mistake a tech would make?

It’s common for a evap coil to be rated at 1/2 ton larger than the condensing unit but not 2 tons.

Supply vents can sweat for many reasons, here is good article discussing potential causes - do any of these apply in your case?

Why Do Air Conditioning Vents Sweat

deathinthedelta provides a good suggestion that the first thing to try if the unit is short cycling, and thus resulting in high humidity, is to slow the air handler or furnace blower speed from a “high” speed setting to a “medium high” or “medium” speed setting on the cooling tap on the air handler/furnace control board, but if the blower speed is reduced too much, for example, setting the speed tap on “low”, it can freeze the evaporator coil.