I do a sneaky archer almost exclusively, but I do like to fall back on duel wield swords or bound swords. Here is my usual game style:
Get Faendal as follower and use him for archery leveling straight away, and pretty much sneak during all combat.
Join companions to become a Were. (no Vampirism for me!)
Start leveling up in smithing...and enchanting and feeding the archery perk tree as well as sneak tree to get the archery perk
Find a piece of armour or jewelry that has improve archery enchantment on it and dis-enchant it so I can make gear and jewelry with archery improvements on them (head gear, gauntlets, ring and necklace)...do the same with fortify one-handed for when I want to use my swords. (if you get the perk where matching armour weighs nothing, you can carry as much as you want and it wont weigh a thing.)
Join Dawnguard and start Sorine's quests for the crossbow, elemental bolts and then finally my most favourite weapon, the Enhanced Dwarven Crossbow.
Enchant and make legendary the enhanced Dwarven crossbow.
In the end by about level 40ish on master difficulty I am pretty lethal to mid to high-range enemies. Higher enemies take a little more, but it is fun on master. Just finished Dawnguard boss fight and boy it kept me on my toes!