I'd go to accessories for less and pick up either the 809 or the Marantz 6006, either will get you streaming and HDMI for either within or pretty close to the upper end of your budget and the 809 is a good receiver and the Marantz is an excellent receiver IMHO.
If it were me with that budget I'd go with the 6006, but a similar Denon would be just as good. From the sounds of it you aren't big on navigating through somewhat complex menus so I'd stay away from Pioneer receivers. Yamaha has a good reputation, but I've never personally used one so........go test one if you're interested.
I had a Marantz 5006 and thought it was terrific, so I have no doubt that the 6006 will be as well. Currently I have an onkyo 3009, and while ADTG may not like them

I think once you get up to this level they're pretty darn good. Denon and Marantz are owned by the same company so expect similar quality, albeit with a few differences, some sonic some not, both great.
The latest and greatest from all the companies are pretty similar in terms of the features they offer, but, again, if it were my $700 I'd probably go with a Marantz.