Good Outside dogs?

I have a Husky, but I have to give her away because my mom is Allergic, and she has Asthma. But She said we could have a dog that didn't shed (very minuscule), and if it was an outside dog. During the school year, everyone will be gone for 6 hours a day, And my mom isn't a stay-at-home mom. Our Husky always howls and cries whenever we leave her outside for ever 30 min, and our neighbor has to come and take care of her when we are at Church. We have a very nice doghouse that is insulated, and has carpet, but our husky doesn't like doghouses. So it will be as good as new for the new dog. There is a fenced field behind my house, so it will get proper exercise, and I go hiking every saturday. Are there any dogs that will work for us? I was looking into a Wirehaired Fox Terrier, but I'm still a little unsure. P.S. My mom hates fur in the house. Our ugly green carpets are now white because of the husky fur. It's constantly irritating her, and so a dog that has little to no shedding is best.