We freeze many of ours - the ones we don't pressure can - but washed, peeled well and cut into 1/2" strips, they will keep for months in ziplock with a damp paper towel tucked in with them. If you leave the tops attached you can also store them in a root cellar or cool basement but they do get soft.

Dave

Here is a link that might be useful: How to freeze carrots

You can also cut into small slices and dry them for soups later on.

I can all of mine, but have you thought about packing them in straw? We seem to have an abundance of straw this year not good for anything else, and I've already packed a hamper of pears in it.

Layered in sand in a large plastic tote with a lid, kept in the unheated basement.
This is the first year trying this so I hope it works well.