Decided against melting... Didn't want to run the risk. Melted ice can be just as dangerous as solid.

[It's slippery in its own away, and just as hard to recover from should one of them fall, so... they'll go with his idea instead.

Her lips press together thoughtfully while she looks at the ground around them, searching for any opening between the snow and the ice for something to use to turn into a walking stick of sorts, but... the ground is covered in white and silver as far as she can see, so...]

How about this?

[Fingers glowing a low, blue light, she focuses her magic on the ice instead. In front of him, it begins to grow upwards, crackling as it shapes itself into something usable, high enough that he'll be able to stretch his hand out and grab it.]

It should move along with us for as long as I can focus.