Well, in that scene, the character just wants to get rid of that object. Neither does he have trouble letting it go nor is he giving an ultimatum. So what should I use?
You need to think about what it is
you want to say. We cannot tell you what is in your head.
Even if we could, English is an art, not a science. There is no single answer.
If you are saying he is totally removed from any emotion, why even bother mentioning "a last look" at all. It would seem like an irrelevant addition. Maybe better to say, "he didn't even give a last look".
What Tarheel's post does, is show you just how subtle changes in word order can be. But his detailed interpretation will not be understood the same, at the detailed level, by all readers .
When I write, and I have difficulty finding the right words, I first let it simmer for a while. Then I return to it, writing two or three versions, using totally different words. This often indicates where the block is.
But I have never found asking someone else to write it for me useful. The reason being, if I can't find the words, how can they possibly know my intentions.
I hope that helps in some way.