You got some really good advice here.....
And then some you should ignore
It's not always out of refrigant, pipe is Not ductwork, and under sizing the unit to keep it running is just..Crazy
Your unit is undersized or not installed correctly or your blower speed is set too low
Call a reputable H\A company and they will fix it......buy guns here......
Unless your house is a custom, the smallest unit that could legally be put in it.......was put in it
These days they're using 500 sq ft per ton, rule of thumb is 400 or 1 cfm per sq foot, I've never seen 600, which would seem what yours is getting close too
Anyway, it seems a window unit or maybe even a mini (there Still expensive) would work....Good Luck and hug your HVAC guy.....he prolly needs it this time of year
Hate to tell you this, under-sizing is not crazy. It serves a purpose and works very well if it has been done correctly. Both of our houses have been under sized by about a .5 ton, both of them ran lower bills than the surrounding neighbors.
People can complain about the OG&E smart hours all they want, the program works and can save you a boat load of money provided you can cut and or eliminate usage between the 2p-7p time frame. I turn the AC on at 7am to 70° and turn it up to 80° at 2pm, house never gets higher than 75-76° during that time frame. Then it stays at 74° until around 10pm when it drops to 73° for the rest of the night. When stuff is not in use it is not plugged in other than TV and appliances.
It is pretty easy to lower the bill, just have to do some research and change the usage habits in the home.