J Tires
Wheel sizes on the J series are 2.75" front and 3.50" rear
Radials: Your editor checked all the major tire manufacturer websites and none of them had any radials recommended for the (smallish) rim sizes on the EX250J, especially on the rear. There were one or two that said you could put a 110/70ZR-17 on the front, but none had a compatible rear. Do not combine one radial and one bias-ply tire.
Sport
front 110/70-17 rear 130/70-17
Bridgestone BT45 / bias ply / $$$
Dunlop GT501 / bias ply / $$$
Metzler Lasertec / bias ply / $$$
Pirelli MT 75 / bias ply / $$
Pirelli Sport Demon / bias ply / $$$
Touring
Avon Roadrider / bias / $$
IRC Roadwinner RX-01 / bias / $$
Kenda K671 / bias ply / $
Metzeler ME880 / bias / $$$ / rear only 140/80-17
Michelin Pilot Activ / bias / $$