A monk’s attacks may be with fist, elbows, knees, and feet. This means that a monk may make unarmed strikes with his hands full.
Handy guide about touch spells
When you cast a touch spell, can you hold the charge anywhere you can attack with, or only in your hands?
For example, a Monk/Bloodrager casts frostbite but is unable to connect with the free touch attack. Can she hold the charge in her knees, allowing her to wield (and thus threaten with) her pole-arm without discharging the spell, and use her knees for subsequent attacks with the spell?
If you touch anything or anyone while holding a charge, even unintentionally, the spell discharges.
There's no mention about where you touch (or get touched) and in fact it took a FAQ to specify that glove-type weapons don't discharge. So no, pretty sure you can't use Monk unarmed strikes to try to hold a charge and still wield a two-hander.
The problem I see with this is that you would have to be naked and flying to avoid accidental discharge on your clothes or into the ground.