I'd love an F-5E-1, much more than the -3, particularly if it would be one of the variants with the refuelling probe and VOR/ILS.
There are some differences beyond the smaller LERX, lack of shark nose and automatic flaps. The radar worked similarly to the MiG-21bis' RP-22 in the sense that it could only lock targets along the jet's longitudinal axis. In terms of handling, weight distribution of different avionics might play a role, and depending on which variant you choose there may be further changes due to the long vertical stabiliser root (as seen in the F-5E-1 operated by Brazil, Chile, Indonesia Kenya, Morocco, Mexico and Tunisia), and the cockpit arrangement would be different as almost all operators changed the order of some instruments around.