In reply to Chris Huntington:
Hey Chris,
If the weather is reasonable I'd have a go if I were you, just do a load of reasearch on the route finding and work out your strategy.
It is committing, beyond the Little Tower and you might as well carry on to the top. Escape from the the upper part of the ridge is not straightforward. In appropriate conditions it is possible to traverse from the Great Tower under Tower Gap and into the Tower Gully/Observatory area. I've done this before when there's been a big log jam at Tower Gap.
People who get benighted tend to a) have found the going fairly hard work, and b) try to pitch the whole thing.
Whilst guiding these are steps where I do a quick short pitch using the terrain for security, but other than those here are the sections that I tend to belay and pitch:
Out of Tower Gap and onto the ridge (a bypass is possible here)
Four quick pitches on the Little Tower
The Eastern Traverse (if this is well tracked or snow free we move together)
Two pitches up onto the Great Tower
A pitch across Tower Gap
Depending on snow conditions a quick exit pitch out to the plateau.
.....got to go but happy to provide more advice.