Most Woodworkes use a break-synth to get 100 since it requires an Adaman Ingot they keep smithing around 45-50 and hope that when it breaks they do not lose the ingot.
Yes, that is exactly what i did. I had Smithing 48 with Advanced Support so it was 51. My Mog house was full of Wicker Boxes, which gave me Wind energy->less materials lost on break-synth. Nearly every synthesis is a break, but the difficulty of the synth raises and so the chance on 0,1 woodworking raises, too. I only needed 14 Adaman Ingots -> 1,25m(on Bismarck) from 99-100. This is quite cheap...:D
Ah and anoher trick: If Moogle event gives you Artisan's Advantage, it have to work even better ;), just get Signet and Guild Support(smithing of course :D).