There is no point to i3, if you have to stick with ultra budget the G4560 is the one to get, almost half the price and same performance.
However, for 169$ you can get Ryzen 1400, which wipes the floor with i3 7100. The Ryzen 1400 has 4 cores and 8 threads, which helps deliver a smooth stutter-free experience as your frame times stay consistent, and in average frame rate, it is at a similar level to i5 6400.