Why do you need health regen on Garen of all champions? At level 16 his passive literally doubles in strength and you just need to go hide in a bush (hue) for 10-20 seconds; bam you're at full health again, go crazy.
Hydra isn't a BAD buy, necessarily, but other AD items like Cleaver and Infinity Edge outclass it. And if you're really scared about losing minions during E, you have to go out into the enemy wave, fight them before your own wave tries to attack it. That way you'll never miss any, and your passive will turn back on to recover whatever peanut damage the minions dealt to you.