There is no regulatory limit to the number of disconnect handles on the outside, but there is a PRACTICAL limit, based on the fact that most humans having only two hands. Disconnect handles are interlocked with the door and require being over-traveled from the Off position in order to release the interlock. Then those have spring-return latches as well, so you have to HOLD the handle in the un-latch position. Holding two handles simultaneously seems like it shouldn't be an issue, but if you are holding a drop light, meter, tool etc., it beomes instantly obvious that this is maybe not a great plan.
The better way to do this is to simply put in another contact on the main disconnect that you run the separate control power through. There are also door-operated plunger switches that you can mount so that the door being closed makes the switch and as soon as the door is opened, the power through that switch is interrupted. Think about the type of switch used to turn off your dryer when you open the door.