TSA used to mention the option and offer to drop it in the mail. I have not heard that in years however, and it raises the question whether they'd bother to drop it in the mail for you.

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I was traveling outbound for a field evaluation and TSA found a full tube of toothpaste that my wife had packed in my carry on. They said I could not travel with 7.8 oz of tooth paste and pointed to the trash can.

I did not want to have to bother with buying tooth paste at my destination, so I went the trash can, removed the cap and squeezed out a little more than half, put the cap back on and put I back in my bag. The screener looked at me and said "I am not required to allow that on the plane." I replied "It's now less than 3.4 oz and you are not required to prevent it from going on the plane, nor are you required to give me a hard time about it." He waved me through.