I don't entirely understand...
So you're saying that when a unit is hit by the spell Blizzard, you want that unit to get hit with a Mana Burn?
Why, that's easy. If you can use JASS it will be even easier.
Simply: (Assuming you're using JASS)
-Make a trigger that fires when a unit starts the effect of an ability.
-Check that the ability being cast is Blizzard.
-Make your trigger JASS.
-Create all necessary locals and stuff.
-Now, create a loop that exits when the caster is no longer channeling Blizzard. (Check the unit's current order.)
-In the loop, pick every unit within X range of the target point (of the ability). Filter out anyone who wouldn't be effected by your Blizzard spell. Checking for a buff may work too, but I'm not 100% sure. (Due to timing issues.)
-Now just go through every unit and make a dummy caster use a dummy Mana Burn on them.
-Clean up after yourself.
That's about how it's done.
If you want a specific Demon Hunter to cast Mana Burn, not a dummy... then that's wayyyyyy harder and I can't help you there.