Can't comment on what will work for you, rather what I have found. I have a Mytek Brooklyn Bridge.(Streamer, dac, and volume) I can select analog or digital for the volume control. Analog seems to sound better. I believe that anything you run the signal through will only degrade the sound. No matter how good an integrated is, you are running your source through its preamp adding color of some sort. If the dac has volume control and it is somewhat lossless, then run it direct to the power amp just make sure you match in/output impedance. I've done this mismatch thing and it wasnt great. Some say 10/1 is a pretty good starting point on impedance matching and I agree.
If you do get an integrated, some have a preamp "sweet spot" say 12 oclock for example on the integrated. Try setting the pre there and use the dac as the volume control. This way the integrated is "sounding it's best" and the dac is lossless, so in the end you have the smoothest sound. Learned that from Paul at PS audio. I had decent results with the Krell KAV 400xi that way. Now I have a Naim integrated and it sounds best fed full dac signal using the int as the volume.
You could also try, if the integrated has this, run the dac direct into the amp side of the integrated(bypassing the pre), and then compare with running the dac "normally" into the preamp side of int. Then you have both scenarios in one place.
In the end, less is always more in this hobby so the right power amp would be cleanest but integrateds will give you the extra inputs.