I am no expert on trike diffs but I do have some thoughts. I absolutely agree a lower gear ratio (higher numerically) would benefit your situation. Overall you want to lower the gear ratio, at a minimum for first gear but in reality, short of changing out the gears for 1st gear in the gearbox, any other changes are going to change all the gears so to speak. There are lots of ways to accomplish this.
Based on your scenario, I don't think something like a 3.6 or so would be low for you. It will also impact top gear as well. Another way of getting a similar effect is to go with shorter tires. That will impact the gear ratio. I don't know what you are running now, but going with a lower profile tire, would also give you the same effect. That would be at the likely expense of ride quality, but it might be worth the trade-off. Use this calculator to figure out the difference. I put in a 245/60/17 and dropped the aspect ratio to 245/50/17 and that would help lower your effective gear ratio by almost 7%. That would change your 3.12 ratio to almost like a 3.33. That might be enough for you. Tires are cheaper than clutches.
I just thought I'd approach this problem from a different perspective, and it might be much cheaper and easier to go this route.
Free calculator to find the dimensions of a tire based on its code. It also helps in choosing alternative tire sizes based on rim size or comparing two tires.