Well, it's not easy... I do not exactly know the Dec, RA ranges for Gould's belt, but from the constellations it spans (Vela, Puppis, Canis Major, Orion, Taurus, Perseus, Cassiopeia, Cepheus, Lyra, Ophiucus, Scorpius, Centaurus and again Vela, etc.) it seams that it spans from Dec -70 to Dec + 50 and RA 9 h to RA 13 h. This is not the position of the belt but the area of the sky contained within it.
Anyway I was not able to impose any ranges in the Hipparcos query. Without them, the number of stars with mag < 4 and distance less than 500 pc (parallax of > 2 milliarcsec) is about 450. Even if the Dec, RA ranges would reduce the number, these might be still too much for me to handle: the query results gives references to catalogues and I might spend a lot of time searching for the name and location of the star.
Of course you are probably right that this is the way to proceed for a complete and systematic analysis. However, I feel this is too much effort for my first objective: to be able to identify the members of Gould’s belt that are visible to naked eye in the night sky. It seams to me that the most reasonable way to proceed is to make a list of stars of these constellations and then check their distances and possible locations within the OB associations mentioned in the paper you have recommended.