You can dilute the remaining coolant in the system and flush it out without removing a bunch of engine parts..
1. After the initial drain using whatever method you prefer, re-fill the system with demineralised or distilled water and bleed out any air. Don't run tap water in there. Then run the engine or take it for a drive with the heater on to circulate the fluid.
2. Wait for the fluid to cool and drain it again taking note of how much old coolant and impurities are being drained out.
3. If you are not happy with the results yet then do the refill and drain with the distilled/demineralised water one more time.
4. At this stage, with 3 drains and 2 water refills, what comes out should look pretty clean and any old coolant left in the system will be minimal and heavily diluted.
You will have a considerable amount of water remaining in the system and you will need to use coolant concentrate to ensure you can get the correct 50/50 ratio of coolant-water. If the system capacity takes, say, 10.5 litres then you will need to make sure you get 5.25 litres of coolant concentrate into the system or whatever is the correct amount based on 50% of capacity. Don't pour raw concentrate into the system. Always dilute it with some water (25 or 30 %) before pouring it in. Once you have the correct volume of coolant concentrate in the system for the specified capacity top up the rest with your distilled /demineralised water. Make sure you bleed the system of air carefully and check the coolant level in your overflow reservoir. If you really want to be pedantic you can use a fluid evacuator pump to suck out all the coolant in the overflow reservoir to refill, or you might want to remove the reservoir and empty it replacing the fluid with completely fresh coolant mix.