Unless you have made some changes to your training or are in better condition, what result would you expect by doing the climb. You said
"should I do the race for a second time this year? I know it will make me a better rider but the pain it will inflict will not be pleasant." If your 2nd attempt is a failure it may become harder to overcome the bad memories, unless you make it your offseason passion to rectify next year.
Why not ride the century and make a donation to the ski team? * as soon as I posted I saw kr32's response, great minds think alike