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Yes, you'll be better off choosing a modern AVR for your 2.1 system. You get more for your $ because they sell more AVRs than stereo systems, better economy of scale. All the new R&D in audio processing goes into those AVRs. All AVRs have capable digital bass management options. Many stereo systems don't. The state-of-the-art for stereo systems hasn't changed for 30 years or more and if they change at all, they are only catching up to what already is available in AVRs. Although many might claim otherwise, there is no sound quality benefit to using stereo systems, whether they are stereo receivers, integrated amplifiers, or separate preamps and amps.
I don't know what power requirements of your Chane speakers might have, but they don't seem like they need more than most AVRs can deliver.
The only suggestion I can make is to choose an AVR that has preamp output RCA jacks. That will allow you to add more power in the future by buying a separate amplifier, instead of buying a another AVR. That way, you can use your AVR as a preamp.
By "open/diagonally-ceiling" do you mean that your living room's ceiling is vaulted? A ceiling that isn't parallel to the floor can be an acoustic advantage. However, you'll probably hear lively reflections from those tile floors. Area rugs and furniture can help a lot.
