Here are some homes that fit your description:
Rent: 1 bedroom, 1 bathroom homes for rent in Hopewell, VA: http://bit.ly/ImGghp
For Sale: Here is the only 1 bedroom, 1 bathroom home for sale in Hopewell, VA: http://bit.ly/ImGp4F
If you were willing to look at homes with more than one bedroom and bathroom you will find a lot more homes that may still be in your price range and work just as well for you, if not better.
Can I help you with anything else?
Community Manager, Trulia Voices