My last two trailers did not have the antifreeze intake lines before the water pump. Here is my general procedure:
1. Drain the hot water heater by removing the hex nut plug that usually contains the anode rod attached to it.
2. Set the bypass valves so water will not go into the hot water tanks.
3. Drain the fresh water tank. After drained close the valve.
4. Open the low point drains and allow them to drain. Reinstall caps.
5. Optionally, I use an air compressor attachment that screws into the city water inlet. My attachment has a quarter turn valve to control air. I have started doing this step recently. I use air to blow out each faucet and the low water drains.
6. I pour 2-3 gallons of antifreeze in the fresh water tank.
7. I turn on the water pump, and open each faucet separately, until antifreeze comes out.
8. I pour antifreeze into each drain, including the toilet bowl.
9. A gallon or two of antifreeze in the black and grey tanks is ok, and winds up there after all the antifreeze pumping.
10. don't forget outside showers and black tank flush lines, if you have them.