A 24,000 BTU unit should be really pumping out the heat. The use of a constant temp supply rules out a lot of things. What is your flow rate out in gallons per minute?
Yes, replacing the TXV with an adjustable one appears to be it, but I would defer to the many people on this site that are FAR more expert than I (where are you AC-hacker?).
I don't think putting more R-22 is going to help.
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consulting on geothermal heating/cooling & rational energy use since 1990
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