@Run Wales - blue runs are for beginners. If you want to move fast, get on the reds & black.
Blue runs are for everyone. Beginners can get confident learning how to turn properly whilst still being in control, whilst intermediates (including perpetual intermediates like me) can cruise at whatever speed feels comfortable, taking in the glorious sights along the way, without coming a cropper on a massive mogul field. To which extent, you can go pretty damn quick on blue runs, if it's safe to do so. It's my favourite form of skiing.
Anyway, back to the OP. If it was a week I'd say you could get away with a bit of cross-training (although I'd personally still take my trainers with me anyway). For two weeks it's a good idea to get some running done while you're away. I don't know Tigne but whatever the resort, there may be days where conditions are crap for skiing anyway. Take your Yaktrax and check out the gym option as well, if that happens to be more convenient.