I don't think you understand. You're not giving up any control by going to higher die types, as long as things are scaled the same. +1 on a d10 is the same as +2 on a d20; +2 on a d10 is the same as +4 on a d20.
The difference is, the d20 also gives you the option of giving +3, because maybe you're better than a +2 but not quite a +4. With a d10, you have to pick +1 or +2.
There are certainly reasons to favor smaller dice, such as availability (in the case of d6s) or simpler math (larger die types require larger numbers to be manipulated), or ease of rolling (d100s can be annoying) but purely from the standpoint of probability and letting skill/circumstance affect the roll, a smaller die is strictly inferior to a larger die.