This is tough against a player with these stats. If you think his range is AA/KK/AK then this is a fold. I made this exact call today with QQ (at NL400) but it was against a 35/25 type. He had AK and I held.
You have 40% equity against QQ+, AK. But you need 45% equity to make this call. Add JJ to his range and you can just call. Add TT and its an easy call. Its a blind battle (which might open up his range a bit) so I probably call but I'm a bit of a station.