You could try Levemir. You have two injections of that a day but importantly you can split the injection as needed. So, just as an example, say you needed 12 units of the Levemir in total per day, you could have say 8 units in the morning and 4 units at night and that can reduce your risk of hypos, as you can imagine. It also gives you more flexibility.
You say the Humalog didn’t suit you. Some people really don’t get on with human analogue insulins like Humalog because they find they have more sudden, less ‘spottable’ hypos. That might just be another thing to keep in your mind as a possibility because there are other types of insulin like the original non-analogue human insulin and the very original animal insulin (that was used for decades).
I’m squeamish too but a pump is no more scary than injections IMO. In fact I think it’s less scary as you don’t have to do injections, only change the cannula every 3 days. The cannula is tiny, like a pen needle but made of plastic. I didn’t want a pump because I thought it would be like a ball and chain. In fact, it gave me my freedom back. Quite the opposite of what I was thinking! Even if you decide you still don’t want one after consideration, do take a look on YouTube and have a read about them. I honestly don’t feel my cannula or even notice my pump at all (I have a tubed pump which is very unobtrusive).
