Do you prefer the upright position? They both look like nice rides, the Alyssa has the same sized tires I have on my cyclocross rig, I'd feel comfortable riding those on the surfaces you describe including the dirt logging roads. What's a dual sport bicycle? That term is new to me. Is that just a more aggressive hybrid with suspension?
Looking at Trek's website, it seems they're marketing it like a midway point between a hardtail mountain bike and a rigid hybrid city bike.
If the majority of your ride will be on decent pavement (i.e. neighborhood streets and bike paths) if it were me, I'd probably go with the Alyssa w/o the suspension. Unless your roads are way hairy, suspension just seems heavy and unnecessary. I'll ride my rigid fork utility/city hybrid (basically a rigid fork hardtail mountain bike) on crushed limestone and railroad ballast. It's fine.
Did you get to test ride any?
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