Are you tripping the MCP, or the thermal overload?
It would make sense that you're tripping the overload giving the severe duty that you're imposing on the motor. But it sounds like the OL is holding in and you're tripping the MCP -- that's strange.
The MCP shouldn't be tripping -- not unless, perhaps, you're trying to start the motor while it's still spinning. . . . You're MCP is already set beyond the 800% of FLA permitted by 430.52 (granted, there's a semi-applicable Exception here relating to motor starting).
It's critical that you identify if the MCP or OL is tripping. Periodic starting like you're doing is tough on a motor due to the high magnitude starting currents. Wiring and OL sizing may need to be increased.
430.22(E) and Table 430.22(E) may be applicable -- these would required sizing the wiring at 200% of motor FLA rating. 430.32(C) might also be applicable, this would permit you to increase the OL size to 130 or 140% of FLA. If your OL is in a high-temperature ambient, that could also be causing the problem, you might need to derate the OL
430.33 would permit you to run without an OL device -- short circuit protection only. BUT -- then you'd be required to stay within the requirements of Table 430.52, which you've already exceeded. . . . If this is the way you're set up, with no overload, and you can't hold in at 800% of FLA, then it would seem that either 1) you've got a problem with your motor, or 2) your motor is undersized for the application, or 3) you've got a bad MCP.