Hello MAKP:
The desigh approach to your problem does not lie with any of the pavement design models you have mentioned since most if not all design methods assume that the underlying ground below the pavement subgrade is "well behaved" in the sense that there are no serious or complicating geotechnical issues. As such the KENLAYER or Ports method etc would not be of assistance except for the determination of the layers etc above the subgrade.
The problem that you face is best resolved by understanding your foundation conditions in relation to settlement and differential settlement.
You have to look at fundamental aspects of foundation behaviour which will occur when you load the site with a pavement structure. Look at stress distribution that will be invoked by pavement and load conditions. What will be the likely depth of influence of the superimposed stress due to traffic loading etc?. Does it still matter if I have 10m of soft ground. Is my ground still consolidating? What is the likely impact of the increased stress of further ground consolidation and what is the zone of influence and so on etc.
Fundamental ground investigation information needs to be mulled over to determine based on experience and judgement what is likely to happen. Is it posssible to still preload the areas that were not preloaded?. This would remove some of the undesirable features of differential settlement.
Is it possible to excavate. This is often shied away in peat areas but has been used with success. Your silty subsoil my cause you a problem in this respect, but can be done if needed.
You will probably end up floating the pavement on this ground and could expect to have maintenance problems. Can this be lived with. This may have to be lived with as other approaches may be cost prohibitive. Such is life in dealing with these deposits and ground conditions.
The decision for a job of this sort brings together a series of knowledge and generally can only be best resolved by someone being in intimate contact(hands on) with the site and conditions, proposed development re parking areas etc etc.
This is a job for someone who is grounded with both geotechnical as well as pavement design experience. Unfortunately, in today's practice these are often relegated to separate camps and hence the uncertainity of what can happen and hence indecisions.
You have a challenging problem and I wish you the best.