What about something that's early and continuous but still has a weaker cover to keep it from burning up in the dry heads? A BRB or Buzz drilled pin-axis? The weaker cover helps get through the heads and the layout helps it roll through the carrydown.
Probably you won't be able to swing the ball much, you'll have to go pretty straight.
If you don't want to to do that, I agree with Charlest, you need to go around it and find some oil to the inside. Maybe a real tight line from inside, one that never gets right of, say, 12.
I hate bowling on lanes like that, I have a similar problem. Sometimes you get lanes that have been used all day and weren't re-oiled before league. Sometimes the opposing team is the "plastic drunks" that throw plastic over every board at every possible angle. First game's ok but you get five of them on a team and they'll destroy the shot and don't care one lick.
SH