Eurovelo 6 1 Day Vienna to Budapest on a road bike with slim road tires

I'm taking the next week off, so I'm planning to go cycling from Vienna to Budapest on the Eurovelo 6 route. Problem is I will do it on a roadbike with 28mm Conti GP5000 tires. I will start in Vienna at around 12 and try to arrive at Budapest before midnight. So I was wondering if the cycling infrastructure in this region is developed enough for me to complete the 300km route quickly and safely and if anyone have done the same?