You could go with a 1H skill as well if you plan on using block. But you can use weapon bash (same as shield bash) with a bow. Most archers take sneak as well to make it easier when in dungeons.
Seconding this ^^^^^
Shields are fun when you raise up and get a few block perks, and the secondary bash attack on a bow (Right mouse button) will often stagger an opponent in direct melee range, so you can take a few paces backwards and re-string another arrow. Often gives you some much needed breathing space. So those two skills go togther well.
As said above you need a weapon with a sheild, I would go with mace the slower of the three weapon types but since you cannot attack while shield bashing, speed doesnt matter that much.
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As for playstyle;
Either hoof arrows at a target until it comes into melee range, then whip out a weapon/shield.
Or raise sneak for the archery crits, in which case most stuff is dead by the time it even notices you are there.
Spend as much of the early game getting hit as much as possible to raise your key skills, 1Handed / ARMOR / Block - for example if you go with a weapon. Perhaps level archery later as if you go the pure archer route it can be difficult to raise your armor skill.
Perhaps do 1 magic skill tree later on when you have developed your main skill and maybe alchemy for fun and profit.
