You are right at the price point where you could look at separates rather than a receiver.
Both of those are going to be great receivers, but if it were me, I'd opt for the 9600 between those two. (I'm a Marantz guy

)
I recently installed a used 9200 w/Ultra2 update for a friend with an all v3 Studio setup and it sounded very nice. I had the receiver at my place for a while and tried it out in my 2ch setup and it has plenty of power. The 9600 is the first update since the 9300V, though it sounds like it is more of an update than a dramatic improvement, but I'm sure it will sound great.
Ideally, a receiver should have no effect on video. I'm sure both will do fine. As Jack notes, if you have more than one HDMI device, the Denon may be the better choice.