AFAIK, assigning springs to beams is not required.
In additon to what Ayesha has suggested, it might be better to check back from your current (and if possible, also from some other) geotechnical investigator about the usable bearing capacity for raft foundation, because 0.5 TSF bearing capacity appears to be very low value for a sandy soil. IMO, it should be more. So, better get it reviewed.
Moreover, increasing the number of columns will not reduce overall load or required area of raft. However, if possible, it might reduce required raft thickness due to punching shear.
You may reduce overall raft loading by reducing thickness of raft itself, in the areas where column punching does not affect. This may be done by providing thicker raft in column strips, or in even in the form of thicker pads under the columns only, provided other structural requirements are satisfied.
Regards.