ok let's find out some other possibilities:
giving his opponent QQ:
http://twodimes.net/h/?z=229983
pokenum -h qc qs - ah 7c -- 7h th kh
Holdem Hi: 990 enumerated boards containing Kh Th 7h
cards win %win lose %lose tie %tie EV
Qs Qc 485 48.99 505 51.01 0 0.00 0.490
7c Ah 505 51.01 485 48.99 0 0.00 0.510
giving his opponent QJ:
http://twodimes.net/h/?z=229985
pokenum -h qc js - ah 7c -- 7h th kh
Holdem Hi: 990 enumerated boards containing Kh Th 7h
cards win %win lose %lose tie %tie EV
Js Qc 284 28.69 706 71.31 0 0.00 0.287
7c Ah 706 71.31 284 28.69 0 0.00 0.713
giving his opponent KK:
http://twodimes.net/h/?z=229967
pokenum -h kc ks - ah 7c -- 7h th kh
Holdem Hi: 990 enumerated boards containing Kh Th 7h
cards win %win lose %lose tie %tie EV
Ks Kc 698 70.51 292 29.49 0 0.00 0.705
7c Ah 292 29.49 698 70.51 0 0.00 0.295
giving his opponent Kh Js:
http://twodimes.net/h/?z=229972
pokenum -h kc js - ah 7c -- 7h th kh
Holdem Hi: 990 enumerated boards containing Kh Th 7h
cards win %win lose %lose tie %tie EV
Js Kc 482 48.69 508 51.31 0 0.00 0.487
7c Ah 508 51.31 482 48.69 0 0.00 0.513
you can plug in the numbers to the equation if you like. The inferences should be self-evident.
al