Do-able but you wont get a reputable host offering for that little, your going to be on an oversold box or somewhere with no service, I would personally reconsider your budget somewhat.
Diskspace: 10,000MB
Bandwidth: 100GB
Private Nameservers
Unlimited features
99.9% uptime Guarantee
30 Day Money Back Guarantee
24/7/365 support
$12.99/mo BUT use coupon code 50off and get a recurring 50% off per month.
From what I can see, the best host I can recommend is *************
I've been with them for 5 months and I remember I referred a friend who wanted to get into the reselling business and so far (4 months for him) he has had zero problems.
They've been very courteous in answering all of his questions and I heard the packages are pretty good. That's where my recommendation would go.