Our sun is not the smallest possible yellow star, so for size of solar system calculation, it needs to be taken into account, that the size of the sun of the Hoth and Bespin system, that is still a yellow star, can be smaller.
Based on data, I think 40 AU system edge is reasonable, but of course suns could be even closer, but it is good enough for rough estimation.
So a 40 AU trip with 5 million km/h would take about 50 days. Double that and we have a 100 day trip between Hoth and Bespin.

I checked the Falcon, and it has everything to accomodate a long journey like this.
And it gives Luke enough time to train on Dagobah.

Don’t overthink it. It’s a fantasy movie set in space. It is NOT science fiction. The falcon always travels at the speed of plot and the distance to Bespin is exactly far enough that the falcon can get just there.