The Delta-T is too high which causes the short cycle time and high humidity. Try to get the sub cool or super heat numbers to make sure you don't over charge the system.
That's normally good advice but not real relevant here.
In this particular case, the ∆T is too high because more than half of the ducting is being dampered off at times by a zone control board, leaving a 5 ton unit hooked to a 2 ton duct system, with a supply to return bypass damper open. The supply air gets unusually cold with a system this poorly designed not to mention the extra cost to operate it and the possibility of heat exchanger damage later when winter comes. We can hope there is sufficient protection to keep it from self destructing but that still won't make it economical.
Ah, but I was so much older then...I'm younger than that now