I fixed your link for you.
That press alone will not work, unfortunately. You will get some serious deflection in the middle, and with the bars unsupported laterally I think you'd get some pretty serious buckling. Unsafe!
If you add some supports in the middle to stop the deflection you'll be ok, you just need a way to load the press. My press is built of 2x4 steel beams (roughly the same size as yours), 3 on top , 3 on bottom (two laying flat, middle one vertical) and they're all welded together. They are supported on the ends, but then I have 3 sets of vertical supports in the middle as well. Without those I had a LOT of deflection.
Remember the forces you'll be dealing with, they're huge. On my press every 10psi equates to about 10,000lb of total force on the press frame. I press at 60psi, so that's 60,000lb of very real force. Don't take that lightly!
As for i-beams vs tubes - you can't just say I beams are stronger for the weight, cause that is not necessarily true. It all depends on wall thickness and dimensions. Bending stiffness is equal to the area moment of inertia multiplied by the modulus of elasticity. If an i beam and a tube beam have the same moment of inertia (if the wall thicknesses are the same and the outside dimensions are the same, they'll be damn close), then the stiffness will be the same.
http://en.wikipedia.org/wiki/Area_moment_of_inertia
Here is a picture of my press - it is by no means impressive, but I've pressed about 20 skis in it with no issues. There are 3 supports welded on the back side, on the front those supports are pinned in place. By removing the top pins the whole thing swings down and turns into a nice platform that helps when loading the press.
I have been planning on building a new I-beam press for a long time, the beauty of an I-beam press (with sufficiently large I-beams), is that you don't need vertical supports in the middle. Just makes loading the press that much easier/quicker.