You can use it for that i guess, but if you use cfl's and not hps you wont worry about the heat so much. Look into inline fans, here is a cfm calculator. You enter the dimensions of your grow space and it will tell you how much cfm you fan needs to be to move the proper amount of air out of the room.
http://www.industrialfansdirect.com/CFM.html
With an inline fan hooked up to some flex tubing venting out of your grow room it will remove a fair amount of unwanted heat
A carbon filter will remove the larger particles from the air and eliminate any odors that are present. Although HEPA filters are the best for removing particles larger than 0.3 microns, they do not remove gases and odors. Activated carbon is quite effective for performing both of these tasks because it uses the process of adsorption to remove gases and vapors from steam in the air. Adsorption is defined as the physical attraction and adherence of gas and liquid molecules to the surface of a solid. Activated carbon filters adsorb these molecules.
Activated carbon is a material that has been carefully tested and activated to increase the internal surface of the filter to the range of 950 to 1150 square meters per gram. The gases and vapors are held on the internal surface and is where the filter does its work. When the gas molecules come in contact with the surface of activated carbon particles, they rest on a large surface pore of the particles. The unbalanced forces outside and inside of the carbon particles cause the gas molecules to move down into the smaller particles of the carbon where it is trapped and held.