Creating a thermoelectric hot/cold plate

I want to create a thermoelectric hot/cold plate which can act in either capacity. In cold mode, I want to be able to cool 10-20C relative to ambient and in hot mode I want to be able to heat to 80-100C max temp (not relative to ambient). Is this doable with a commercially available single or multistage peltier device? My plan is to create it with a top plate that is 4" by 4" and a heat sink on the underside using free convection. I want the height of the total device to be as compact as possible (on the order of 1-2"). Has anyone ever tried making a device like this? Is my heating temperature requirement too high? Also, how fast will the device reach steady state temperatures? Is it on the order of a few minutes, or closer to an hour or more?

Thanks!
Mike