In regards to using an UQ, the HH and WBBB aren't much different. Unless you've done some serious tailoring for a specific HH model, your UQ should work fine.
What HH model do you have?
What are the dimensions of the UQ?
Have you compared your UQ dimensions to those of Hammock Gear's 3/4 UQ or Warbonnet's 2/3 UQ?