In models you're mentioning, I would use their in built DAC's. I would even transfer the 200$ you were thinking on spending to speakers or if that's already taken care of, I would transfer said 200 to a better integrated.
If you're really into integrated and you like
Yamaha, A-S801 is under 1000$
Of course, many members here will point out what you're able to get for your money if you go for an AVR, and they'll be right. BUt my end goal is also a stereo amp, so I'm as guilty as you are.