With that kit, development is normally 3:30 at 39C but a one stop push is 4:40, two stops is 5:50 so it isn't that sensitive. The temperature can also vary a bit without ruining it. You can adjust for the difference when printing.
Blix finishes to completion so you can blix for 6:30 at 39C or 8:00 at a lower temperature if you wish and it will just go to completion. I don't think you can blix for too long. As I reuse my kit A LOT I blix for longer, after 24 rolls I blix for over 7:00 to be sure.
Chromogenic B&W films will work fine though honestly for home development you get more control with conventional B&W films, easier to print too. Just my opinion, I used to shoot a lot of chromogenic B&W when that meant I got 1 hour service at the lab but now that I do all my own developing I do C-41 color and regular B&W when I want B&W.