It seems I'm not the first one down this track. Petzl and Stubai both took a stab at a hybrid ice axe and telescoping trekking pole. Naturally neither is in production (too expensive anyway) but interesting to look at.
Petzl's version extends to 105 cm:

Stubai's extends to 95 cm:

Also, FWIW, I came across a Seattle company that makes a 100 cm single-piece ice axe (no affiliation):
http://smcgear.net/ice-axes-hammers-accessories/capra-ice-axe-100cm.html