Hi,
As Nicolas said:
Remove the "shipping" view from the "Checkout workflow" option of the HikaShop configuration and you won't see that on your checkout anymore.
So you should not have it displayed.
You can configure any shipping methods in HikaShop, you can use manual shipping, and set 3 shipping methods with the desired restrictions.
When setting up a shipping method, you can find a "restriction" part, just check the checkbox and then fill the minimum price value field, etc depending on your needs, and restrict the shipping method to a desired zone.