If you are asking for a raft price, that is what you are getting for area.
What is so unusual about the site and soils? Is it an unusual layout or are the soil conditions really bad?
Some soil borings are obviously necessary, but they needed be excessive and should give the depth of the existing water table.
Every day, quality homes have been built on strip footings with concrete block or concrete walls. If the soil does not have high bearing strength, the footing width could be extended slightly beyond the normal 20" - 24" and the thickness should be increased slightly beyond the 8" minimums.
In many areas, the longitudinal reinforcement in the footings is not required because the wall is so much more rigid due to the depth, but most codes do require a minimal amount for continuity (not shrinkage/temperature). The wall thickness and reinforcement must be adequate for the lateral loads. The vertical loads are not that high unless you have an unusual layout.
There are many advantages to this type of construction. Beside the decreases amount of concrete, the strip footings and walls can be up in a few days. The post footings, if any, can be poured at the same time as the footings are laid out and poured. This allows the mechanicals to be installed below the basement slab. The floating slab (usually 4") is poured on the top of the interior portion of the strip footing, which usually must abut the bottom 4" of the wall base.
It would be wise to look at the latest IRC and portions of the companion IBC to see what is allowed, since this is the the most common residential standard used. Familiarity will also allow you to defend your reasoning if your design is compared to an "off-the shelf" type that some builders like to use.
Dick
Engineer and international traveler interested in construction techniques, problems and proper design.