Trick is, that would make it a really bad storage land. I'm not sure that card would even make it into my Limited decks.
Depends on the use. Storage lands (assuming we are talking of the Ravnica ones) require more mana investment and don't create accel in earlry game.
Turn 1: Tap for counter (1)
Turn 2: Tap for counter (2)
Turn 3: Tap for 2 for a possible 4 mana
Turn 4: Tap for 2 for a possible 5 mana
All that leaving you with your other lands to do stuff. Not all that great bu potent.
I really like the first design actually, I don't think its TOO good, but there could be some drawback, probably like limiting the number of counters it can have to 1 or 2 or dealing 1 damage when the second ability is used, making it a less agressive Ancient Tomb.