What is the best way to get from Jogja to Bandung? Flying to Jakarta and then taking a long road trip back sounds so tedious. How much is it likely to cost to hire a car + driver for the journey by road? Is the journey rewarding in any way? Is it better to do the trip n the other direction, i.e. start in Bandung and drive to Jogja?

I have travelled extensively in Sumatra, Sulawesi & Bali - but never been to Bandung and hence am curious.