My main character Calacirya is a lot like what you described - as a Wood Elf, she's a natural Marksman, and kept honing her archery skills over the course of the game. She's also good with a longsword, for those times when sneaking and shooting from far away just take too much time and patience.
Her major skills include Block, Light Armor, Marksman and Blade, and she prefers a one-handed longsword + shield-combo for melee combat. She's built a bit like a tank, but with high Sneak and Agility. She has loads of Strength and Endurance, so melee combat is no problem for her.
A bow/melee-combo works wonderfully, imo, and I definitely say go for it! Maybe not the most efficient way to level, but to hell with that. You don't always have to be efficient.

And I see you didn't really care for that either, good for you!
BTW, welcome to the forums!