Hi! You know, to give you the best answer, I think I should ask you a few questions first that will help define the problem and the situation.
I've read your question and Dr. Rossi's answer and your follow up. While Dr. Rossi's answer is excellent in giving you the practical options, it was helpful to hear from you what you are truly looking for: a way to find some middle ground here.
Your say he's very proud, but it seems like we're dealing with something more than that: his pride seems to be covering real sense of low self worth: he's hyper-sensitive to anything that might be a negative statement about him. This is rarely limited to one area, like being asked to do a task. Is this a general problem? How else does it show itself in the relationship?
Is he aware of how super sensitive he is?
Would he be willing to work on his hyper-sensitivity in therapy? Or at least in couples therapy with you?
By the way, are there any mental health issues?
Are either of you getting any treatment right now? If so, what type? How is it going?
If not, when was the last treatment? What type of treatment was it? Was it helpful?
Any extra information that will help, feel free to share.