theres a couple of options available which will allow you check to see how you handle various carbs. If you've not used the product before.
dexcom1 has a 10day trial can sign up for
https://dexcom.com/en-GB/one-plus-campaign-sample?
abbotts has a 15 day trial can sign up for
https://www.freestyle.abbott/uk-en/getting-started/sampling.html?
so thats 25 days of experimenting with foods (that your unsure of) keeping a nice written record of foods which worked well for you during that time maybe a good idea alongside a list of foods which didn't agree with your glucose levels.
I'd try before using the free cgm trials to make a list of foods that you like. and try against those (removing any foods that you know the effects already if good/bad body handles it ok or not).
i would also write down the time of day you had your meal at. sometimes muscles can appear to be slower at using glucose in blood stream up just after waking, comapred to say being active for several hours. so something that may not of been ok for you at breakfast might be a little better at lunch / evening meal.
regarding: "CGMs are to be provided to Type 2s on insulin" sure they can under certain critera. my late mum was unable to get although she was injecting upwards of 4x per day and had several pretty bad hypos and indeed total delirium with exceptionally high glucose levels&keytones dka on umpteen occassions blue lighted to hospital kept in for months ...
she was never given a cgm, if she had she would of much better grip with her diabetes...and think she would still be here today. if i knew then what i now i'd of ensured that she was given the treatment that she required (even if paying for it). i have the same dsn as my mum had i'm hoping to change that, that same dsn refuses now to speak to me other than via telephone call for 'review'.
theres been some good advice given regarding costs of blood monitoring via fingerprick and test strips hopefully that will assist
(edit corrected a typo in spelling, big fingers hit two keys at once i think)