Welcome Sharon, you have run into the age old problem that a lot of docs don't let type 2's have test strips on prescription, which is so wrong in most peoples opinions. Testing is the only way forward to see which foods effect you and in what way. As Bubbsie has mention the SD code free is the most common meter used on here if one feels like they want to self fund.
With having only the HbA1c test every 3 months, there is no way you can effectively identify what is going on. Cutting down the total carbs in food will help with your levels or switching to slower releasing carbs like going from white bread to wholemeal a favourite bread for some on here is Burgen bread, though it's not to my taste. Pasta and rice is also high carb food, a good book to help with carb levels is one called cars and cals, the best place I found it at is on Amazon, there are several issues of this book look for the newest version as that will be the most up to date one.
It's available from Home health or Amazon. Ordering from home health is easier to get the VAT back as all you do is select the I am a diabetic option and it automatically removes the VAT, don't know if there's any difference in postage costs. In the UK we use the mmoll measurement system so you will need to select that option. The starter kits only come with 10 test strips, so you may want to order extra strips at the same time.
https://homehealth-uk.com/all-products/codefree-blood-glucose-monitoring-system-mmoll-or-mgdl/