Take the bus. On this route, it's both cheaper and quicker than driving.
You'll arrive about -5h -51m sooner (10h 7m by bus vs 5h 16m by car) and save roughly $-66.86 (€-53.83) compared to fuel and tolls ($176 (€142) vs $109 (€88)). You also skip the drive itself — no traffic stress, no parking, and you can use the time to work, nap, or catch up on a series with the onboard Wi-Fi.
Direct coaches are operated by BlaBlaCar, Alsa, Hife.
Driving is still worth considering if you're travelling with bulky luggage, need flexibility on departure times, or plan to stop along the way.