It is possible to have your glasses made by a low cost provider to the needs of a shooter. You just have to outline your goals to the optician. For example, "computer glasses" offer a midrange correction to your vision suitable for a computer monitor that happens to be about where the front sight is when you are on target. If you don't have astigmatism or some other eye deficiency, you can experiment with low cost "reading glasses" at the drug store and try to read a magazine held out at front sight distance. Often you can find a 1.5 or 1.75 magnification that will work.
You are well aware that you can't have both target and sight in focus, but that is the case for everyone, even with perfect vision. Most people seek glasses that put the front sight in focus.
The Leupold pistol reflex sight, the Burris Speedpoint, and the JP are all ways to end the problem and get everything in one sight plane. But, you have to pay to play.
An alternate is a laser target designator. These are available for about the same price as the red dots. For example, the TLR series with a laser are about $300. Here, you get target illumination and laser designation. For defensive use, some favor this setup.