I just did as a Cleric. Grind the first two giants until they stop spawning for tons of souls. Get a decent shield (or not if you're good at dodging) and Dragonrider is cake. Pump faith to 22 for lightning spear. It wrecks early on btw.
I didn't even see the Forest of Fallen Giants until after I beat the tower.
As a cleric you start off with a Mace, and those big knights at the tower are weak to blunt damage. So you actually have it easier than any of the other starting classes if you want to tackle the tower first.
Just get yourself a shield first --- Everything unrelated to elephants is irrelephant
If you're starting as a cleric you'll have no problem in heides. Maces are strong against armoured opponents. --- The Official Everything of Every board. Seriously, who decides this and what's the point? Are we 3? 3DS FC: 4296 3610 2207