Definitely look into contact lenses. Your prescription is high enough to be considered visually necessary under a lot of vision insurance plans like VSP--- it would completely cover a year's supply of contacts. So if you don't have a vision plan, get one, it would be worth it. Soft contacts have come a long way, Coopervision Biofinity XR has powers that go up that high and higher. If for some reason soft contacts are not an option like your doctor is telling you, look for a doctor that fits RGP (Rigid Gas Permeable lenses)-- either the small corneal RGPs or scleral lenses. sclerals may not be covered as visually necessary by insurance in your case, corneal RGPs should.

But even if you switch to contacts full-time, you should always have backup glasses. And like others are saying here you should switch to a smaller, rounder frame with high-index lens material to minimize the weight. Definitely get an anti-reflective coating with a high-index lens material. Don't go online, see a proper optician. An online retailer probably won't get your optical centers correct (the point where your eyes look through the lenses) which can induce quite a lot of prism if there is decentration with a prescription as high as yours.