Bob Hope would be proud. Actor Gary Sinise’s commitment to entertaining U.S. troops with his Lt. Dan Band has been chronicled in a new docu feature set to bow online July 4.The doc, “Lt. Dan Band: For the Common Good,” follows Sinise’s travels over a two-year period to military installations in Kuwait and Iraq, among other locations. Pic has had some film fest exposure, but the decision to preem online was made in part to allow service members around the world the opportunity to see the pic via Web streaming. “We want as many eyeballs on it as possible,” says director-producer Jonathan Flora, an Army vet who served with the 82nd Airborne Division. The pic will be available at LtDanBandMovie.com for $3.99, with one dollar from every sale going to the Gary Sinise Foundation, which supports military members and their families, the USO and other charities. After 30 days online, the docu will be released on DVD and shopped to cable outlets. Sinise was spurred into action with the USO and other military support orgs by the Sept. 11 terrorist attacks. The Lt. Dan Band moniker is a nod to the Lt. Dan Taylor character he played in “Forrest Gump” — a serviceman who lost both legs in Vietnam. At every show, whether in the Middle East or Midwest, the star of CBS’ “CSI: NY” never fails to salute the aud for the sacrifices they make. Along with performances by the 12-piece rock band (Sinise plays bass), the doc features appearances by Jon Voight and Robert Duvall, among others. The first screening of “Lt. Dan Band” was held for 1,100 troops aboard the USS Intrepid in New York City during a memorial weekend for those affected by the Sept. 11 terrorist attacks. The screening was “pretty humbling and quite an honor,” Flora says.