Vampiric Touch isn't the main reason for Shadow Priests drinking rarely. It's a combination of several mana efficiency talents. Spirit Tap will increase your Mana Regen after every kill, Mind Blast crits increases this further. Start the attack with Vampiric Touch, and your MB will give you a buff that gives you a decent mana regen in combat. Wanding the last few seconds of a fight will allow Spirit Tap to work outside of the Five Second Rule, giving your Spirit Tap 100% efficiency right off the bat. Dispersion will be a free Mana Pot on a CD. Later, you'll get Shadowfiend as another free Mana Pot.
You just have to gain a killcycle that combines killspeed with mana efficiency, and a spellrotation which allows you to regain mana at a high rate as soon as the kill hits. Other Shadow talents reduce the mana cost of most of your spells, and thus increase mana efficiency further. On my 70 Shadowpriest, I never sit and drink unless I've taken down a rather large group in one go, and then I usually have to eat as well...
You'll find your mana efficiency to be slightly lower at 60 than later on. You'll have better gear which means every spell you cast will be that much more powerful, while your Spirit will shoot through the roof granting you much more mana regen out of combat. Less mana spent on a kill + more mana regained when the kill is done = enormous mana efficiency.
Go through your spell rotation and find out what's basically just wasted mana compared to the damage done.