It is hard to say based on not being able to see the fracture.
Non-weight bearing (NWB) cast seems REALLY conservative for 5 weeks so it is either bad or you have an old fashioned doc.
When you say "the tip is still attached", that it is only a crack? If it is, some docs don't even bother with a cast let alone a NWB cast!
From the sounds of it, you'll be fine. I think you will take more time to recover from being NWB than from the fracture!!
See how you go - often i don't even bother to give exercises to my patients because usually they are young (softer bones) and they run around like maniacs anyway.
You'll be skiing in December - but that is a complete guess (for legal reasons!! )Good luck!