@Serenede I can't contradict your team, but I was told not to basal test as restricting food intake wasn't appropriate in pregnancy. My own instinct confirmed this for me too. Moreover, as you say, insulin needs change frequently during pregnancy so what's right one week isn't the next.
I suggest you make notes of your high periods to make sure there is a pattern rather than just random highs. I did that, and if I saw a pattern over 3 days (3 days always high at a certain time) I cautiously made adjustments and then monitored to see how that worked.
If you're on a pump, you're laughing as adjusting basal is so much easier. Just be prepared for your needs to drop soon. I had highs very early but they only lasted two or three weeks, I think (sorry - my memory is bad with a toddler!)
If you're actually vomiting, then that can make your BS erratic too. Keep testing frequently and adjust as required - ie eat if going too low, consider correcting if too high. That level of control - constant tweaking - is part of pregnancy, but gratifying when you see tight control.
Congratulations on your pregnancy, by the way!