Good luck.
When you are done, please post a thread back here so we can see what you did and discuss your model.
It doesn't work. There are already too many problems with the existing model. Mars would have to have a crazy movement and light must bend independently from the sun and moon for it to work. Venus transits cannot be consistently explained that way no matter how insanely curved the path of light is.
Putting earth in the center of the solar system and making it a sphere might work for a while but still cannot explain some phenomena.
Making it flat with a close sun and moon as well as other planets would just be impossible.
It's a fun exercise but it approaches it's limits too fast.
It kinda reminds me of the idea that earth is a hollow sphere and we live on the inside so that the universe is essentially mirrored at the surface of the planet. It needs some mathematical distortions, but it kinda works. But thats easy compared to creating a model of a stationairy flat earth. There will always be something that can only work in a heliocentric system.