Skiller Dailies HELP

A few options, depending on your particular self-imposed play style restrictions:

1. If I remember rightly, you can talk to Challenge Mistress Fara for an option to skip the old set of combat basic challenges if your play style prevents you from completing them.
2. You can talk to Nastroth in Lumbridge courtyard and get him to block combat XP in skills of your choice (other than Constitution, sadly). You can freely toggle the skills back on whenever you want. If you gain XP in a skill you don't want and the skill level is still fairly low, you can also get him to remove XP in a skill (6 months cool down).
3. I believe you can kill cows with recoil damage, so if all else fails, wear a ring of recoil, bring some food, and let the cows work out their own beef with you.