Gravity is real, even Dr Rowbotham didn't disprove it. But the way it works, the earth is flat so instead of pulling down from a 'core', it pulls downwards all along the underside of the planet, proving that earth cannot be a globe.
Standard theory of gravity applied to a flat Earth would result in a pull that is more and more horizontal the further one goes from the center, unless one assumes an endless (or near endless) plane of finite thickness. If you have evidence that suggests there is something wrong with this, I suggest documenting it and presenting it for peer review. Otherwise UA is your option for a flat, finite size Earth, and standard gravity works for a flat, infinite plane Earth. But you cannot have normal gravity upon a finite sized flat Earth.
Gravity pulls down underneath the earth, not just from the centre. Even if I did provide a paper for peer review, it would be dismissed out of hand because it challenges the norm.
I can assure you that a well-researched paper that contains well-documented and repeatable experiments would not be dismissed out of hand. It might be easily disproved, though.
And if you are right -- your claims can't be disputed, they're backed up by tested science -- you would be a shoo-in for a Nobel prize, you would have a worldwide audience to market books/interviews/whatever you want to and would be able to live out the rest of your life in supreme comfort. As well as setting up a few more generations for success.