Okay, whether you feed live is your choice. I'm still of the strong opinion that you're putting your snake at serious risk for injury by not at least trying to switch, but there's no point in me trying to lecture you about it if you aren't going to listen. I strongly urge you to at least stun the mice. They'll still stumble about. They'll just be too stunned to bite... Feeding live is DANGEROUS, there's no getting around that, and you need to at least take precautions if you aren't going to even try to switch. Anything less is incredibly irresponsible.
However, you should NOT just dump a live mouse in his enclosure and leave him to it. That is what leads to utter disaster. Here's a graphic example of what can happen if you leave a live rodent in with a ball python that doesn't feel like eating...
http://iherp.com/Public/Blog/Detail.aspx?uid=39770 NOT pretty.
To give you a beardie-based comparison you might understand better... Feeding live and not expecting your snake to get seriously injured is like housing two hatchling beardies together and being surprised when one bites off the other's tail, or leaving your bearded dragon in with 100 crickets for a couple days and not expecting it to get bit if not eaten alive. It's a guaranteed injury, and, for more than 99% of snakes, an AVOIDABLE risk.
Anyway, feeding in the enclosure isn't an issue, but you have to consider you'll have to get in the enclosure to change water and spot clean, and remove him from the enclosure to do thorough cleans regularly. It doesn't matter if you decide to feed in the enclosure or not... You still have to get over this fear of handling the snake.
The bites in the past were probably because you made some handling mistake because you were nervous--moved too fast, grabbed the snake wrong, handled it roughly, dropped it... Even putting the snake away just because it strikes at you during a handling session can condition it to bite whenever it wants to be put down. I'm sure if you suck it up and just pick it up, it won't be any problem. Ball pythons are incredibly docile and reluctant to bite. A little bit of common sense and, in your case, courage, and you'll be able to handle it without so much as a hiss or an s-coil.
Don't hesitate when you go to pick it up. Don't move so slow you end up chickening out, but don't just throw your hand in there and grab. Scoop from below. These things will help you avoid getting nipped at if, indeed, the ball python is uncomfortable with you handling it. If you approach it from the right angle, the chances of getting bit are slim to none.
If you can't get over this fear, find the snake a new home. It's for the best, for both you and the snake. Explain to your husband that, if you don't find it a more capable home, he's going to come back to a sick or dead snake because you just can't handle it. Sorry, but it's the ugly truth. You cannot, and I mean can NOT, keep a snake healthy or even alive without handling it at least sometimes. Trust me on this one. If he's an animal lover, your husband should be able to understand. As an animal lover, you should be able to understand what I'm saying.