You'll draw a card, not their controller, if they deal combat damage
Drannith Magistrate + Knowledge Pool | Stax Combo White may be weak in card draw, but they have some of the most oppressive, controlling effects in the game
Draft Boosters / Booster Display A favorite for playing Limited
In the case of a tie bid, the winning bidder will be determined by the auctioneer at his or her sole discretion
We just got a new Sanguine Bond effect in Duskmourn with Enduring Tenacity, which handily curves right into Conqueror in Mono-Black
Lastly, I would return it to where you can only regenerate one monster per turn, or add a clause to where the monster is summoned in Attack Position, leaving them in a vulnerable state and forcing the player to consider if reviving the monster (at early stages) is worth the potential LP cost of it getting attacked and destroyed again