I've been trying to get that resiny character out of hops for quite some time and have found a solution that worked for me. This is anecdotal for now, but I will do controlled experiments in the future and post my findings. Essentially, I added the bittering hops (4oz of Chinook) at 150 minutes in my 10gallon Black IPA, and used a very hard rolling boil. So: lots of high alpha acid hops, longer boil time, and V. rigourous boil is successful.