I have a couple of thoughts...
Like Wendy said, the preshot test is essential. Without it, you have no idea if you're shooting in the 300s or in the 30s. Since Django is squirming, would you consider getting a timed feeder. You could leave a small snack for your kitty at +9 which might help to take the edge off Django's hunger. If worse comes to worse, a freeze dried treat or two might also work at shot time. The other advantage of a timed feeder is that once you're back at work, there will be a way to leave food out for your kitty.
Many of the people here, myself included, work full time. I was able to adjust my shot time to 5:00 so I was able to get a couple of tests before I left the house. (My cat had an early nadir so this worked out well for us.) Shifting your shot time may not be possible for you. If not, get a test before you're out the door and as soon as you're home. It will also make getting tests during the PM cycle even more important. It looks like you've already been getting some PM tests. With TR, you will need to do what you can to get a pre-shot test and at least one test each cycle (work notwithstanding). A before bed test every night is what I typically recommend unless your cat's curve dictates otherwise.
Just to double check, I'm hoping you're using U100 syringes. Caninsulin syringes are U40s.
Caninsulin is quite different than Lantus. I'd encourage you to look over the sticky that describes
the depot. With Lantus, as you've already surmised, we hold the dose for a specific period depending on which dosing method you select. It's important to be attentive to holding the dose since rapid changes in the dose disrupts the depot and you need to give the depot a chance to stabilize.