
Mount to Coast
H1
Versatile road-to-trail, but struggles on wet, technical downhills.

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As a zero drop runner I like Altra Outroad 2. I mainly use them for running in the various trails in my neighborhood where I'll be hitting some pavement to/from home and in between some of the trails.
I use Altra Outroad as my daily shoe since most of my running is a mix of light trail and road. Other than a little extra weight, it’s a perfectly serviceable road shoe, with a little extra traction and sole durability.
Altra Outroad is specifically designed for this type of running if you can tolerate the zero drop. If you need some drop, check out Brooks Divide, Hoka Challenger, and Solomon Sense Ride. Others have mentioned the Pegs and Saucony Rides. I've run in Hoka and Saucony and loved both for their versatility. Great for running in sloppy conditions in the fall and winter.
Altra trail runners. Or any trail runners really. You don’t need climbing specific approach shoes.
Go to REI and let them Guide you. I ended up with Altra trail runners. They’re great
I’m going to do my best to answer your question with the experience I have. The pros of military (also often seen as “tactical”) boots is they’re generally heavier duty and, like you said, a work/hiking hybrid. I don’t know when you were in but you may have noticed that a lot of brands for the Army and Air Force have moved towards a sneaker style boot. Some examples of brands doing this are danner, Nike, or under armour. Your Bellevilles and Bates are almost certainly more of a work style boot than a sneaker style boot. With that, the sneaker style boots are not nearly as durable as the heavier duty work style and can wear much faster. The main cons of military style boots are their bulk and weight. Some brands (see above) cut down on the weight by making them into a sneaker style, which is why so many in the force use those types. Another con is their height, 8-10in (for everyone other than SOF dudes) are just over the top for most hikers. MANY hikers and backpackers consider anything over 6in to be excessive as it doesn’t seem to provide actual ankle stability. However, Garmonts are massively popular for a reason so it really comes down to the individual. As someone that has hiked long distances is military boots, “tactical” boots, traditional (think leather based) boots, and trail runners; I prefer trail runners. You probably have seen that pattern already though. I like them for their lightweight, great grip, and relatively low price. I really have loved my Altras but also my Mount to Coast T1s. People kind of sleep on Mount to Coast in the hiking world but ultra runners love them so I figured they’d also be good for backpacking, and I’ve found that they are. Also, if you’re really hooked on something a bit more familiar and heavier duty I really recommend Crispi, those things are borderline indestructible and have a phenomenal fit. Hope this short essay helps!

Mount to Coast
H1
Versatile road-to-trail, but struggles on wet, technical downhills.

Altra
Lone Peak Series
Spacious toe box, but cushioning and durability are polarizing.

La Sportiva
Prodigio Series
Great technical grip, but unstable for some, with sizing issues.

Nike
Pegasus Trail Series
Versatile for non-technical trails, but poor on wet, technical.

Mount to Coast
T1
Lightweight, cushioned; but lacing and underfoot protection are issues.

Ranked #1
Salomon - Speedcross Series

Ranked #1
Hoka - Speedgoat Series

Ranked #1
Mount to Coast - H1

Ranked #1
Salomon - Genesis Series

Ranked #1
La Sportiva - Prodigio Series

Ranked #1
Mount to Coast - H1