kmc, of course it depends greatly on how fast you can ascend. It's 4,000' vertical to iceberg lake, and you need to be there by 10 AM. The last 2k from Iceberg to the summit will take more than half as long as the first 4k due to the higher elevation and thinner air.

I hope you can do some training hikes and try to gauge what a comfortable and sustainable rate of ascent is for you.