Your options:
1. Make OpenGL 3 or 4 work on your hardware - If your hardware supports Direct3D 11, it also supports OpenGL 3 or 4 with all important extensions. Hardware itself does not usually does not care, if you control it with GL or D3D. Yes, drivers might be a problem. I never heard of similar problem (only opengl 2), I think that it should be solvable. Ihis would be ideal solution if you make it work.
2. Linux - Graphics drivers are known to be problematic on Linux, but thanx to mesa and its software gl implementation, you can get at least non-accelerated opengl even on livecd. I personaly develop both on win and linux and I consider Linux to be much better for development. I would suggest this solution.
3. virtualization - vmware, virtualbox or other. I think that these do not emulate graphics hardware, so if you run windows in it, you will not get hardware acceleration. Running Linux in vmware will give you at least emulated acceleration. You can pick this solution, if you consider development on Linux but you do not want to switch immediately to linux. It is not ideal definite solution.
4. use direct3d instead of opengl - SeanMiddleditch highly recommended this, but I disagree with him. "You do not need those platforms and if you will, you can still switch to OpenGL." is retarded advice in my oppinion. DirectX works only on Windows and XboxOne. OpenGL works on most platforms except xboxOne and mobile platforms (works on Windows, linux, mac, ps4, somehow on Wii). OpenGl ES works on almost everything except xboxOne. I would not suggest you to use Direct3D.
5. Use a library with higher level API - do not write directly in opengl but rather use some graphics engine. Graphics engines are usualy part of a game engine / game framework. SDL allows you to do some rendering operations without using opengl directly. Graphics engines tend to have multiple backends (opengl 2, opengl 4, direct3d 9, direct3d 11, opengl es). I use cocos2d-x (it has 3d support too), but I only use it only for graphics rendering and scene tree and low to mid level input dispatch. Ogre3d or irrlicht might be an option for you. I can suggest this option. If you want to learn some opengl, just try some tutorials (to learn how the opengl pipeline works - vertex arrays, buffers, shaders etc) and then switch to some graphics engine. Even when using an engine, you will have plenty opportunities to work directly with opengl.