I've heard that Focal and the Adam T5v, and I'd take the latter picking between those two.
If you can find them used I'd get a pair of Mackie HR824 monitors, the MKII ones. I picked up a pair a few years ago for $650 on Ebay. Better than anything else I show in your tentative list when it comes to bass extension.
That being said, if you want bass and upgrade things in the future, you're really going to want room correction with MiniDSP or something similar.
The Kali Audio IN-5 is also something I'd recommend, having used them for months nearfield, and now using them as surround speakers. It's $700, so over budget, but you are getting a three way monitor with better port design and more even vertical dispersion.
Passive speaker wise, the HiVi DIY 3.1 is the way to go, I built a pair with the Sehlin mod as reviewed here, and for $300 you won't find better, though again, I highly recommend a coincident/coaxial monitor as the lobeing on two way monitors is noticeable to me depending on my ear height. If you ever plan on using things further away than nearfield, that can become more and more important, as it also helps with ceiling and floor reflections sounding more natural.