Honestly. I'd personally keep Alchemy and drop Smithing instead (since you'll want Alchemy for healing). You can just use Fortify Smithing/Enchanting to improve your equipment (provided you do so before enchanting it), but it removes the tedium of having to grind a third crafting skill. Granted, this pretty much means no dragon equipment, but you can always stick with Ancient Nord Armor, and since Forelhost respawns, you can pick up plenty of the stuff, which is nice, because you'll want to go there for one of the words to Storm Call anyway.
Honestly. I'd personally keep Alchemy and drop Smithing instead (since you'll want Alchemy for healing). You can just use Fortify Smithing/Enchanting to improve your equipment (provided you do so before enchanting it), but it removes the tedium of having to grind a third crafting skill. Granted, this pretty much means no dragon equipment, but you can always stick with Ancient Nord Armor, and since Forelhost respawns, you can pick up plenty of the stuff, which is nice, because you'll want to go there for one of the words to Storm Call anyway.