I've played a similar game to this except with more hands rankings than just pairs and high cards.

From bottom to top these are the hand rankings:
High Card
Flush(Two suited Cards)
Straight(Two connectors)
Pair
Straight Flush(Suited connectors)

It's a game that I usually seem to win at but I don't really know why... Any suited connector, pair, or straight is playable, and when the pot gets pretty large I'll play flushes too.