Here is a list of benchmarks for SWBF3 at 1080p with various GPU's. The lowest GPU on the list, the R7 370, is equal or slightly better to the AMD minimum requirement of a 7850. The Nvidia minimum is a GTX 660.
http://www.guru3d.com/articles_pages/star_wars_battlefront_beta_vga_graphics_performance_benchmarks,5.html
Here is a GPU hierarchy chart, you can see very low to top tier GPU's ranked.
It even lists some integrated/laptop gpu's.
http://www.tomshardware.com/reviews/gaming-graphics-card-review,3107-7.html
I'm assuming if I were to go with a 1600x900 720p resolution, the framerate would be increased? :D Just a thought is all. I don't think they still make 720p monitors with that resolution, but I would be curious about this.
Lower effects and lower resolution will certainly increase your fps.