Those scoring cats are screwed up. Generally, people use 5x5 providing wins, saves, ks, whip, and era. Three of those cats are based on total number while only two are averages. Therefore, you cannot throw the majority of categories.
With your scoring system, you can easily throw 4 of them (L, BB, H, R). That's 4 out of the 9. As long as you keep ERA and WHIP under control, you could take 6 of 9 cats right there, losing only saves, wins, and ks. If you used dominant relievers like gagne and foulke, you have a shot at saves as well.
I would definitely use a LIMA strategy. Draft 1 or 2 TOP ELITE SPs and then fill-in with dominant MRs like Lidge, KRod, etc. Good closers would be awesome as well.