No problems here with tires on the Araya CTL-370 rims that came with some Ironman models. I've used Vittoria Zaffiro and older Specialized wire beads; and folders in Schwalbe One V-Guard, Continental Ultra Sport 2 in 700x23 and 700x25. The Schwalbes and Contis fit extremely tightly so the Kool Stop bead jack was a must.

Wolber Alpine rims look superficially similar but the fit isn't quite as tight as the Arayas. Ditto Alex S500 rims -- snug but not as tight as the Arayas.