The more damage you do with grenades, the lower the rep. I have only one point in each type of grenade and the rest in passive skills. Smoke bomb, Stink Pot and Fire grenades will give you more rep than using the standard grenade any day of the week. Try tossing a few of each....the combination seems to provide good results. Use the standard grenade as a last resort. I've done this with plenty of characters.....trust me it works.
P.S. - Siege charge is fun just to show people and toss around...lol...looks so funny holding it. Does MAJOR damage and the reps will be very low.