If you don't like when opponents have healing, try monsters/summoners with affliction.
PS: About the card speeds thing, that might be a bug. I noticed a few myself (not necessary related to speed), and they are frustrating, especially if you are already frustrated, lol.
LOL thanks for the tip man!
Yeah I'm sitting there with 6 speed, and the guy has 4 but he's hitting me first...Very odd.