Unless they are pretty toasty in the middle, or you have a lot of hand, a Ride is going to be pretty anemic for hitting power inside. You need to first find where the oil buildup starts then decide whether you want to try to play the oil or stay outside. If you want to stay out, then I would look at tamer urethane, or then maybe a ride. I have only been able to use plastic on very short sport patterns, and even then its use is limited. If you decide you want to try to play in, go with something polished but not necessarily a weak core. Maybe something in your current arsenal would work. If not, just about everyone has a mid line pearl that will give you more hit than a Ride from inside.
Also as someone else said, you may find a lot more oil when fall leagues start, although you still might not find much oil outside second arrow.