Cliff,
Is there some practical reason why they have the fan run-on after the compressor stops??
Yeah there is a good reason Dan. There's a temperature sensing bulb mounted just off the face of the cooling coil that controls the compressor via return air temperature. If you stop the fan, the mass of the cold coil (typically about 40*F) in close proximity to the sensing bulb is going to hold the compressor off until the coil warms to the point where the bulb decides its warm enough to cycle the compressor back on.
By running the fan continuously, the bulb is sensing the temperature of the air in the vicinity of the unit rather than the temperature of the cooling coil itself, so the compressor will come back on based on a more realistic measurement of space temperature.
Rsidential A/C systems are about the only ones where its common to shut the fan off when there's no call for cooling from the stat. Larger systems always run the fan continuously in an attempt to keep space temps even and to keep the air moving somewhat.
Since you've got a dehumidifier, there's nothng wrong with running it too, particularly in the initial phase where you'll be drying out not only the air but everything in the shop that has the capability of holding moisture, such as sheet rock, bare block walls, and of course all that furniture and carpet in your executive office suite. Personally I find my molded plastic chair is super efficient in that it won't hold any moisture at all
I've found when running window units in an application like yours, its a big help to also run a box fan to keep the air moving around the space in general. You don't get much air throw from a window unit, so the space near it tends to be cooler than the rest of the space. This colder air has a decreased moisture holding capability, so you tend to get more cooling and less dehumidification as a portion of the air is recirculating. Humidity migrates thru the air by nature, but less of the moisture will migrate into air in the vicinity of the unit if that air is colder than most of the rest of the shop. By using the box fan, you can keep a better supply of "fresh" air in the vicinity of the unit, and get increased dehumidification as a result. The fan doesn't have to be near the unit. All it needs to do is keep the air stirring. I bought one at Wal Mart a couple years ago, actually made in the US, for about 20 bucks. IIRC, its a Fasco brand. Probably made in Outer Mongolia by now though
It has a trunnion type mount so it can be tilted to any angle, which works better in a shop than one that's fixed and blows straight across the floor.