I'd split this project into two - First, find some gear and brake levers to match what you already have and swap the bars over. Then after a good few hundred miles decide if you want to proceed with the hub.
You have a frame with top tube and steering geometry intended for a hand position ahead of the stem, the new bar puts the hand position much further back, probably too big a difference for a change of stem to compensate for. That will have consequences which it may not be possible to work out on paper. It might be fine, you might prefer it, but equally it might not. I've converted two bikes from drops to straights, with bar ends so the hand position wasn't radically different. One was fine the other wasn't and I can't figure out why.
If/when you do come to swap the gearing, I'd choose a Monkeybone and Rohloff tensioner, I've been happy with these, though I don't have much experience with other components for this task. The Rohloff tensioner keeps plenty of chain engaged with the sprocket, minimal clatter, easily adjusted chanline and good parts availability. The Monkeybone shares the load with two fittings intended for braking forces, so possibly the strongest part of the frame, the recess guides the plate into position.
The mini eccentrics don't have a good reputation, there's been several come and go, plus they don't offer enough throw. The long arm is arguably the best torque option, on the basis that when it comes to levers the longer the better, it's just plain ugly.
There's no reason you can't make it work, it'll never be as good as a purpose designed frame and there are choices about what you'll compromise, but the disadvantages are not monumental.