Honestly im not a fan of most high rye bourbons. My favorite of all( including all of the Pappy bourbon) is Eagle Rare....which has less than 10% rye in the mashbill. If i was going to drink a high rye bourbon I'd go after Woodford Reserve.
Woodford Reserve isn't really so high of a rye % mashbill (18%), though I can understand that feeling a bit high if you don't like rye, lol. It actually has the same mashbill as Angel's Envy and Old Forester, believe it or not (though the Woodford has a little bit more alcohol %).
For anyone curious, here are some popular/common whiskey mashbills:
Jack Daniels: 80% Corn, 8% Rye,12% Barley
Old Forester: 72% Corn, 18% Rye, 10% Barley
Woodford Reserve: 72% Corn, 18% Rye, 10% Barley
Bulleit Bourbon: 68% Corn, 28% Rye, 4% Barley
George ****el: 84% Corn, 8% Rye, 8% Barley
Elijah Craig: 78% Corn,10% Rye, 12% Barley
Jim Beam: 75% Corn, 13% Rye, 12% Barley
Bakers: 75% Corn, 13% Rye, 12% Barley
**** Creek: 75% Corn, 13% Rye, 12% Barley
Old Grandad: 63% Corn, 27% Rye, 10% Barley
Wild Turkey: 75% Corn, 13% Rye, 12% Barley
Makers Mark: 70% Corn 16% Wheat, 14% Barley
Four Roses Single Barrel: 60% Corn, 35% Rye, 5% Barley