Coorg is like 100kms from mysore..it would be a awesome experience for you if you go to mysore first,rent a bike, explore the beautiful city, leave for coorg next day and chill..while returning you can drop the bike in mysore and catch a train for your way back
I suggest to hire a cab from Mysore and keep with you ( Hire for 3 days), as there are so many tourist attractions in coorg where you need cab/vehicle to reach. If you will have your own/hired vehicle you can also cover Namdroling Monastery and Dubare Elephant Camp while going or coming from Mysore. Keep one place while going and another while coming as for covering both the places you will have to take different routes.
The essential guide for cab services in Chandigarh
Welcome to India... Not every country has the same rules and regulations. You will find many things in India that are differently practiced in the whole world. Let’s take for example. In India, when you book a cab service you get a driver along with it. Sounds strange? Not to the Indians who have practiced such a trend for years.
https://www.cabservices24x7.in