To me, no, it isn't worth it. The biggest reason behind my answer: Where I live, if you were to shoot someone in that situation, you would probably find yourself in prison with a murder charge. Prison vs $300 loss... I'll take the loss of money.

What I would try to do is get the best ID description of the person I could, and maybe even try following them while on the phone with the police.

If I was in my home and they entered without permission, that would be a different matter. I've already been in the position of having someone under the influence of drugs trespass on my property at 2AM while I was home alone with an infant. Did not know the person was there until the next morning when I got up and saw the evidence and then reviewed my security cameras. That was the day I bought my shotgun.