So the no-upside version is nearly Argent Horserider. 2-attack minion for 3, does 2 damage to face when you play it. 1 health divine shield is typically better than 4 HP, but it's fairly close in practice.
But like... that's the no-upside version of *A TECH CARD*. What tech card is a 3 mana 2/4 deal 2 when it's a dead draw?
Thwart Ice Block, discourage or prevent big draw turns, yeah, seems solid. Now, not in every deck, and it isn't really a build-around and I think it'll be trash in control decks, but toss this into any deck that's keeping pressure on your opponent, and it just works.