My eyewear suggestions are not based on medical knowledge of allergy to latex, and I don't remember reading about features of eyewear that address the particular problem.
If hypoallergenic components are okay, you should know that titanium is a hypoallergenic frame material. However, I don't know the levels of latex in other components such as nose pads and ear grips.
Our selection of titanium eyeglass frames is limited. See the Puma Sphere I PU15215 Titanium Eyeglasses Frames. These are frames only so you will need to have your optician prepare lens. The nose pads are not titanium and I don't know if there is latex at the ears.
We expect to offer the collection of titanium frames from Luxottica soon.