You say that you have hypo unawearness, perhaps looking into a CGM would also be very helpfull for you? Has your diabetic team got one that they loan out? Even if only for a couple of days at a time
It is a shame that your diabetic team haven't taught or encourage you to tackle adjusting your basal insulin, as this would be benifical to your ability to control your diabetes, and it is a move that you would have to take if you went onto the pump... The pump might actually give you more confidence in doing this though as you can change it a lot easier and with quicker effect than with making adjustments with injected basal insulin, which you have to sit back and wait to for a couple of days to see the true result..