In reply to RichardAWatson:
Please be aware of avalanche risk. I would say that Norway is quite tricky as the conditions can be difficult. It's often windy and/or overcast, so you have difficult avalanche risks to manage with poor visibility.
In the alps you can still do some excellent piste skiing or side-country. In Norway the alternative is to try to do a basic tour or just sit in your cabin and drink tea.
This, however, is where a guide or a friend with excellent experience would be useful.
I was in Lyngen this year and every tour was a constant debate about turning back - snow pack, wind, visibility, temperature, etc. I did 7 tours with 9000m of ascent, yet I only topped out twice. And we had probably 300 tours experience between us, so I'd like to think we had a reasonable idea of what we were doing.
I also went to the Alps for a week. The weather was poor. The final day I sat for 45 minutes eating lunch on a ridge in a complete whiteout pleading for the weather to clear. I knew I was on a ridge because the map said so. That was it. But I did do some fantastic piste skiing that week which is completely unavailable in Norway.
So, if I was you I'd go to one of the big resorts in the Alps famous for off-piste - Verbier/Zermatt/Chamonix and hire a guide for a few days, and then try some of your own stuff with the backup of some great resort skiing if the conditions are bad.