when I and most type a I:C ratio it translates to " I nsulin : C arbs", I suspect that you are thinking "carbs per 1 unit of insulin", which would loo like C:I, the reverse!
The ratio's you stated would easily be accommodated with ANY pump. ( if I am right in regards to how we are translating ratios)
RE t:slim basal rates, if I read your post correctly it means from 0.01 as a starting point you can go up by 0.001"'s, IE: 0.011, 0.012, 0.013 so on and so forth.
I have to say that I am not sure, I though I saw another post just today stating that basal rates started at 0.1??? I had the t:slim and sent it back for various reasons, but since my oldest insulin needs are not that small I did not keep those limitations in mind.