Hi Akshay, the roads are in perfect condition and there should not be any problem on this trip. I'm attaching with this comment two trips about both the places they will help you plan your trip.
Hey Akshay, Road trip via Karnataka from Hyderabad will be awesome Bro ... You would need to reach Bangalore directly from Hyderabad on a stretch and then stay a night here and then head to Ooty ... Stay in a Zostel in bangalore in Indiranagar and get a chance to meet hippes or backpackers travelling to and fro from different Places .... And also see that the road to Ooty is via mysore and gundlupet ... If you have much time take a dat break in mysore also and visit Chamundi Hills and mysore palace ... The road from gundlupet to Ooty is via forest area called Bandipur and it closes after 9 in the night and opens only after 6 am in the next morning ... Then you can reach Ooty ... Send two days in Ooty and then spend two days in Kodaikanal ... Ooty :- All the things to do and places to see in Ooty ... Dont miss the Nilgiris mountain railway you train ... Check out Ooty lake ... Botanical gardens Rose garden Thread garden Visit Kalhatti falls which is 8 Kms from the Ooty city centre Tiger hill which is 4 Kms from Ooty Emerald lake Never miss Kotagiri hill stations in coonoor ... which is 17 Kms from Ooty ... Droog fort in Coonoor ... The 250 feet sheer drop of Catherine falls in Coonoor ... St.Stephen church is also a place not to miss ... Kodaikanal :- Dolphins nose Church in Kodaikanal Echo and suicide point Vattakanal falls Take care of your vehicle when you are on road carefully .... Happy Travelling Bro!!!