Your heater core may be clogged. Have the heater core flushed and refill the system with fresh coolant.
The vents are opened and closed by vacuum. There should be a vacuum line running from the engine to the inside of the Trailblazer. That line is broken somewhere and it is not sending vacuum to the switch. That will cause it to blow to the top of the dash (defroster) and to the bottom (floor.) Find that line trace it back and splice a new line in where it is broken. That should fix the problem.
heater core is shot and you have to get a new one
Smoke could be coming from the vents of your car for a number of reasons. You may have an internal car fire.
It means you have a leaky heater core. You may also find the front passenger floor wet with engine coolant.
This can be caused by an exaust leak close to to your engine. Breathing exaust fumes can be harmful, get this checked out by a machanic.
The air is off.
Steam may be coming out the air conditioning unit if the engine is overheating. The best thing to do would be to shut the vents before any hazardous fumes begin to come out.
The air should be comming out of the defroster vents. If so, most likely, it is the vacuum line that controls the vents. It is on top of the engine below the air cleaner, and runs to the front right of the engine. Buy the replacment so you know what your are looking for.
It should have nothing to do with the vents itself. More than likely it's the blower motor that's not working.
Control problem, blend door not working are the places to start
No. Volcanoes have vents. Vents are holes though which ash, gas, and lava can erupt.
heater core needs replacement