Forget the binary between budget and inconveniences: in Japan, the experience optimization often dictates the length of stay, not just the cost.
We do not sacrifice the “why” of the trip for the “how much”; we adjust the budget to the value of the experience.
For example, for the cherry blossoms in Kyoto, many save specifically and cut other expenses for this precise period.
The real method is to first plan the desired experience, then adapt the budget and duration, not the other way around.