It's a longer list than Cloud got. There's about 9,000 adult healer caste by this time, about 600 of which are nobles. Of the 600 nobles 150 are high nobility, and only a third of those are common born high nobility. That makes for a total of 25 common born high noble healer caste Cetra males - which is what Aeris needs her spouse to be ideally. In fact most of the healer cast nobles eligable as candidates for Aeris' spouse made sure they'd stay that way by waiting to take a spouse. So did the more ambitious noble born high nobles, just in case, but they sort of knew they didn't stand much chance.