Highly recommend keeping them separate for all the reasons you raised and more. Put it this way — would you buy a turntable with the phono pre built in? Why not? Because they’re both critical components and just because you might like the turntable it doesn’t mean you’ll like the phono pre as much, right? Same thing with a DAC and streamer. They’re both critical and very different components, so what are the odds that a combo streamer/DAC is going to be optimized on both counts for your specific tastes?
As far as specific recommendations, that really depends on what sound characteristics you’re looking for because, just like in analog, the flavors are all over the map so we really need to know what you like. Specify what sound characteristics are most important to you and you’ll get some great recommendations here, otherwise you’re gonna get blindfolded darts at a dartboard. FWIW.