Ban Singed, pick Rumble, have fun. OK, it is not that easy, but Rumble is a very good top. Your aggression must be tempered pre-6 but there is almost nobody that can survive his full combo at level 6 if executed correctly. Don't worry too much about falling behind with CS early against tougher opponents; it is an early weak point, but improves dramatically after getting your first AP item. This is easily offset by his strengths: manaless, ranged harass + slow, shield + speed boost, tanky, epic sustain, and 2 AOE attacks with heavy burst potential.
Riven and Renekton are both strong tops and very good high aggression picks.
To me, a strong, well played top can not only win, but dominate the lane vs. AI Bots 1 v 2. Holding a lane 1 v 2 vs. real competition should also be easily possible, and winnable if your jungler is competent.