Unfortunately, there are few linemen who excel at both, and they command big dollars. Look how much Woody got, and he wasn't elite by any means.
Faced with the reality of choosing, I think you always want a line that can open holes in the run game, provided you have a QB who can progress through his reads and deliver the ball quickly. Which we do. Guys like Culpepper, Plummer, McNabb, Carr, wouldn't do well in our current offense, and we'd have to get linemen to accommodate them, which would hinder the run game. As long as we have #12 taking snaps, I'm okay with an OL than can spring the RB at the expense of an extra 1/2-1 second in pass blocking ability. The best defense against the pass rush is a proficient quarterback. All of Marino's years, he did without a running game, because his O-line were all pass blocking specialists. He went a full season without being sacked once, but he had such a quick release that Miami would have been better served with the road grader type to prevent opponents from routinely playing the dime.