Sounds like a Band-Aid approach to the problem...
If you are having cooling problems, you need to find the reason for the overheating. Even if you remove the A/C cooler, you still have an inherent overheating problem.
MB has a pretty sophisticated mechanism in place for monitoring and adjusting components for proper cooling. I wonder if upon removal of the compressor the monitoring circuit for that component was left open? The system will shut down the compressor if freon pressure is too low, or coolant temps reach a prescribed level.
Also, check those auxiliary fans. Do they operate at all? One turns on at some temperature, and the second one kicks at a higher temp. The fan velocity changes as well. A/C operation also affects how the fans operate.
Is the viscous clutch operational on your main fan (the one spun by the serpentine belt). The fan is usually free-wheeling until demand requires the clutch to kick in.
Temperature sensor may not be operating, or the water pump is starting to cause problems.
Bottom line is, there are a myriad of factors that could be affecting your cooling problems, and removing parts that were originally designed with the vehicle is not the way to fix it...