Your brother should get an independent person to do the calculations for him amd review the sizing. Having said that, you won't be happy with an oversize unit loafing along either. Unit won't run enough to keep the humidity under control. Most of the time I try to size AC equipment based on the 95% design conditions, when it is really hot it still feels pretty good to come inside where it should be about 20 degF cooler. Other thing to remember is all sizing procedures assume that the unit is allowed to run continuously and "catch up" over night. If you brother likes to turn the AC off at night and open the windows he may be shooting himself in the foot.
To the original question, I would ballpark it at 50-60 tons AC. Again, get a contractor or engineer to look at it. One question they should ask is how large the motors are running the equipment and how often and for what duration they are working (could be a huge impact or negligible depending on the answers).
Other thing that struck me is that fluorescent tubes may not be the most effective light source from 20' ceilings. Consider a "low-bay" type fixture and light source appropriate for whatever work being done.
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