I have a 5x8 utility with no suspension. I have 15" wheels with who knows what size tires. It bounces your brains out with no load too, unless I put the pressure down to about 18psi. Of course fill them back up when you have a load on it.
Can't say it doesn't work unless you at least try it.

(see also my comment that I agree, having suspension is always better than having none)