I have changed the coolant in my engine a few times for various reasons, and never had a problem bleeding it.
All I do is drain the coolant at the block drain plug, then at the radiator. Tighten everything back up, then turn the heater to the fully hot position and the fan speed at one. Then I start filling the cooling system with a mixture of 50/50. Can also be 30/70 or 40/60. I fill the cooling system until it reads to the COLD mark. Then I open the radiator bleeder screw slowly and listen as the air hisses out and I also watch the coolant level dropping. Once the hissing has stopped, I close the bleeder screw (DO NOT OVERTIGHTEN) and top up the coolant level back to COLD. Then with the radiator cap off, I start the car and rev the engine at 2,500-3000RPM. I watch the temp gauge rising slowly. Then once the temp gauge reads at operating temp, I allow the engine to idle for about 5-10mins more while watching the temp gauge. If everything looks OK, I put the radiator cap back on and go for a 15 min drive operating the engine through the rev range and at idle. Once again if everything is OK, I park the car and allow the engine to cool down. The next morning, I check the coolant level - it would have dropped slightly below COLD. If so, I just top it up to COLD with water. And thats it.
Ignore the Bentley manual procedure, it just confused the shit out me when it mentioned that bullshit about bleeding it until all the bubbles stop appearing in the coolant. Follow the above procedure, and you shouldn't go wrong.