In reply to owena:
Use one of the climbing axes, in all honesty ice axe braking is a last resort no matter what kinda tool you have. Fall over on a really hard icey slope and you're probably a goner regardless of tool. For me the benefits of ergo tools on steep mixed out weighs their slight disadvantage in ice axe breaking ability over a more 'mountaineeringy' axe.
Sorry, to answer your original question - as has been posted above, that combo will be fine for what you want to do.