However lets assume that the heat output of your rigs IS exactly 18K BTU/HR and the AC unit can remove exactly 15K BTU/HR. The temp in the room will rise. You are adding 3K BTU into the room every hour. It would be no different than right now putting a 3K BTU/HR space heater in there (no AC). If the room was perfectly insulated the temp would keep rising forever until either the heater melted or the power cord caught on fire.
In the real world no room is perfectly insulated so there is going to be some heat loss through the walls however the rate of heat transfer depends on the difference in temperatures. So to move 3K excess thermal energy out of the room when the outside air is say 80F probably means the room temp would rise until it reached equilibrium at 140F maybe 160F.
Now it is possible that your AC unit has more than 12K BTU cooling capacity. Normally the capacity is rated at a certain temp differential (i.e. 90F outside 70F inside). The cooler it is outside, and the warmer it is inside the more efficient the unit becomes. It is also possible your estimate for the units power consumption is high and they will use less power. You probably aren't going to know for sure until you plug them in. However I would plan for the possibility that you either need to scale back your farm or scale up your cooling. Then there are other factors which will vary a lot. If you live in AZ and the room the miners are in is south facing then room is going to acquire more heat from the sun than say a shaded room on the north side of the house in Maine.
So like I said you can estimate, and plan but eventually you are going to need to plug everything in and take some measurements. If you live in a part of the country which has dry heat you may want to look at an evaporative cooler (swamp cooler). If you live somewhere which is humid that is pointless though (they cool by adding moisture to their air, the more moisture that is already in the air naturally the less cooling capacity they have).
Not really although any unit with a NEMA L6-30 plug is going to basically be the same so you don't need to stick to APC. I mean these are essentially just industrial grade power strips. Since they are being sold as used surplus I have seen them as cheap as $30 and as much as $90. It is just the luck of the draw I guess.