I too agree that your insulin resistance is bizarre... Those who have double diabetes will be insulin resistant for the whole day, albeit a bit more in the morning. You "appear" insulin resistant in the morning and are fine for the rest of the day, using a typical I:C ratio after 2pm that any other non insulin resistant T1 would.
I think it's entirely possible that you have a harsh case of DP combined with possible Symogyi effect and the addition of a fairly hefty "waking rise". Have you ever used the Libre or a form of CGM to monitor your overnight BG levels?
Personally, I was taking far too much evening Levemir and the result was huge morning sugars and symptoms that manifested as "insulin resistance" till well past midday. It's actually the reason why I joined the forum, I thought my insulin wasn't working as I'd inject loads of Novorapid and my BG would barely move...
Since trying the Libre, I seen that I was dipping low overnight (3ish or below) and then getting rebound highs (Symogyi effect) which would run on past lunch time.
So what I found , and what I feel you may have (albeit way worse) is the following:
-Too high an evening basal dose causing the symogyi effect (rebound hyperglycaemia).
-DP
-A waking rise.
I found the best way to minimise my DP was to eat moderate carb, so I try around 130-180g per day - it seems to give the best results. Also, the earlier I wake up, the lower my morning BG is. I then take the relevant amount of bolus to correct any DP - and a further two units to correct my morning rise. I also don't eat breakfast, but you may find that eating something with carbs (and bolusing for it) can help stem any further BG rise - we're all different.
I hope some of this makes sense and hope its also applicable to you...