Given your constraints I can't see it being worthwhile, period, even if it were our own moon. Lets throw some numbers at it:
Current cost to deliver a kilogram of payload to the moon: \$1.2 million. Price of a kilogram of gold: \$40k. In other words, for every kilogram you land on the target you need to bring back 30kg of gold just to pay your launch costs, not even considering the cost of what you landed.
Oops, look at the Apollo landers. Their ascent stages were mostly fuel. In other words, you're paying well over $1.2 million to lift a kilogram of anything off the moon. In reality it's a lot more brutal than that as the density means you're closer in. The escape velocity goes up by 1/3, increasing both the cost of landing and takeoff.
In other words, bringing gold home the moon by rocket isn't remotely worthwhile even if it's free for the taking.
Now, I hear squawking about proposed lunar and asteroid mining—surely the numbers can't be right?? The key is by rocket—if you want to make money mining extraterrestrial bodies you'll have to come up with some better means of bringing the stuff home.
Now, such methods have been known for some time. Take an electric motor, unwrap it and make it very long. Instead of turning something round and round it sends it off at a high speed. While I am not aware of anyone building one powerful enough to toss stuff off your gold moon it's simply a case of building bigger. (Note: We do not use such a system for launch from Earth due to the atmosphere. Scaling the motor is fine, building a system that can survive the shockwaves and heating is quite problematic.) Your crew lands, and starts tossing packages of gold somewhere. Since the launch only costs electricity the cost is quite cheap. (After the package has been boosted to the required speed it's released from the booster. The rest of the track has reversed polarity and stops the booster. Take it back to the start and throw another package.)
However, that's a lot more equipment than you're going to deliver with a single launch—which is why I said your constraints mean it's not worth doing.