Most 288's have a governed carb and the spring gets weak overtime and leaks fuel randomly. If it's having a problems holding a tune (especially at full throttle) I would block off the governor and see if that helps, after vacuum checking the crank seals of course.
To block off the governor pull the large brass screw on the right side of the carb just in front of the choke shaft. This has a little spring and check ball mechanism that is supposed to open up when the vacuum gets high enough and dump more fuel in thus limiting the RPM of the engine. Cut a piece of aluminum can to fit down in the whole sealing off the passage for fuel and re-install the plug.
I had to do this to my 2100CD a few weeks ago because it was jumping all around while I was trying to tune the high side.