FDs are pretty forgiving of being bent slightly. I miss the days when the cages were ductile and you could bend or tweak them to optimize shifting. If it isn't too badly bent, you might get it working by straightening it by eye. Worst possibility is the cage cracks, but you're considering buying new anyway.

The bottom pull FD you linked is nice, and will work fine (depending on your skill of course). Just be sure to get the right clamp size.

Lastly any the threaded adjusters on the down tube, or built on the levers, often called cable tension adjusters, might better be called trim adjusters, and that's exactly what they're for. By changing the length of the cable run they determine the precise position of the derailleur that corresponds to the clicks. After the limits are set you use a barrel adjuster to trim the derailleur for the middle position.