As it is the biggest week for the U.K. ski market, combined with the fact that week long trips are more the norm and short breaks are not commonly offered. I think you'll taking whatever you can find.. unless you're talking 2018
Italy's smaller resorts would be a better bet than France I suspect. I'm not as familiar with Austria beyond the well known big hitters and doubt they would offer good value.
Having booked a few short breaks, we always found independent travel the better option. However transfers can be expensive.