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Oh my God!! You have a daughter, and grandson and your husband is still being "stubborn" and not wanting to have it looked at? It's almost to his armpit???? Not too far from the heart, is it? 
As others have said, the tissue damage being done is probably irreversible. I have seen shows on TV, like the Medical emergencies show, Trauma in the ER, etc. all based on REAL emergencies. The snakebite ones are really, really bad. People can lose limbs, as well as LIFE because of snake bites. His arm is turnign BLACK??? As in DYING tissue. I don't think it's just a matter of him being stubborn. I don't think he understands the magnitude of what he is doing to you, your daughter, grandson, and himself. Snake bites from poisonous snakes can be incredibly serious!
If this was my husband, I would be calling for whatever help I could get to take him to the ER. Either 911 or if not available, then cops, family members, or whatever. 
What would he do if you got bit instead? Or his daughter? Or grandson? 
I sure hope all goes well and you can get him to the ER before it's too late!
Please keep us posted. I will be praying for you and your family.
Kathy