Hello Benjamin , I'll be happy to answer your travel queries from my experience ☺️.
*distance between hydrabad to Coorg is 775 kms approx and takes 15 hours for a direct journey ,but since this is little bit busier route ,I have a small plan suggestion Day:1
Hyderabad > Bangalore > Mysuru
Hyderabad to Coorg is very hetic, split your plan. Day:2
Mysuru > Bandhipur > Coorg
Start early in the morning and visit Bandhipur forest safari.
Explore Coorg, commercial places. Day: 3 1. Mandalapati Jeep ride (Don't miss it, Start early in the morning from Coorg)
2. Abbey waterfalls (on return)
3. Rajas seat (on return) Day :4
Visit regular commercial places.
Drive back to Mysuru in the evening and visit Mysuru palace Day: 5
Mysuru to Hyderabad
*I have a small suggestion for you, I just checked online and found that there are some great deals for Coorg available at tripoto itself, do check out this link
https://www.tripoto.com/coorg/tour-packages HAPPY TRAVELS ❤️