Another brand to consider that clicks all your boxes is Emotiva. They have a full featured integrated that even has an FM tuner. 135/200 wpc into 8/4 ohm.
I bought the separates With a Pre (PT2) and amp (A2) that has all the features and a little more power, 160/250 wpc. The pre has FM, DAC, full (hi-lo) bass output management, mm/mc phono and headphone amp.
I know the brand doesn't get much love here, but they are definitely steps up from box store brands. Prices are lower because they are direct to consumer.
They have been trouble free for me and do an excellent job of driving my KEF R3 Metas.