So tell me what is it you want. 1. lower divergence ? or 2. A beam of less than 3.5 mm dia. ?
When I buy a lens I use
Optics, Imaging, and Photonics Technology - Edmund Optics. They have a very wide selection of lenses [ singlets ] that are AR coated or uncoated.
One thing clean off the glue from that lens and try this glue instead Bond 527 or Beacon 527 for your next lens. It's easily peeled from the lens yet will hold the lens firmly in place without damaging the AR coating. Only glue at the circumference of the lens to the host. I use a tooth pick to apply this glue.