It isn't a big deal. Forget about allagan pieces with that amount of gil. Scout both markets (i.e. make a throwaway on that server) and check the prices for high-priced things that actually sell like myth materials (Saurian Skins, Cashmere, Tawny Latex etc.). I would advise against investing in housing/pet materials like glazenuts because that stuff is in real flux now, though investing into reliably rare things like opo-opos/bluebird pets might be a thing :P

Then, once you transfer, sell it off hopefully for profit. Who cares about a gil limit?