JJ, I would suggest you do CPTu tests and take a few good quality samples for 1-D consolidation tests to have a better understanding of the permeability and yield stress, compressibility. Depending on the outcome and the expected final stress level, you may or may not need surcharge or wicks or both. If test results suggested low Ch and high Cc/1+e0 and low yield stree, and soft clay is thick then both wicks and surcharge is required. If time is the primary concern, and the owner is willing to spend extra to buy time, think about lime column or concrete injection column (CIC).
Good luck
Henry