Your playstyle is essentially to just farm until 6, make sure to have good pathing, good camp respawn timer etc. U arent really weak before 6 but u are very low range and u cannot really gank. The strategy with shyvana is to just farm as much as you can, soak alot of xp, kills etc and carry, dont play for your team more than you play for yourself. With that being said i think you should prio dragons since they are very broken especially since u always want to path towards your botlane when playing jungle. In teamfights your job is to engage on enemy backline and kill them, pretty simple.

Please dont path to toplane, its very useless ~ botlane players are very bad so they usually die to ganks even if its shyvana ganks, they fight alot so u can cleanup, they are just not the smartest (Adc champs are very snowbally and will snowball more than toplane carries usually). Also drake is on the bot side of map and since drake is 100x more important than rift you should just focus on getting the drakes. Path in a way where your facing towards botlane - EXAMPLE : You have 4 camps up (Gromp, wolves, raptors , krugs) You always want to go to krugs if you are in base since u are facing down and clearing to your botlane.