PvP should NEVER give PVE Rewards. At least not easy obtainable, it should be at least equally hard if not thrice as hard to obtain than in PVE. Because PVP requires a different set of skills you shouldn't be rewarded with something else. That would not be fair to non PVPer that have to fight others for their drop.

I liked in WoW A token for a certain piece of gear would drop. It was a Token for a Armor slot for a specific class for a specific ilvl/rarity. You took it to the vendor and could chose betwen PVE and PVP version. Those tokens came from raid encounters.