Either one will handle your weight without a problem, after all both are capable of being ridden 2 up. However you may find the DR200se is pretty small.
These two bikes are very different segments of the dual sport market. The DR200se is an inexpensive trail bike and competes with the TW200, XT250 and Super Sherpa. The DRZ has fairly advanced suspension and a water cooled engine. The SM version has sportbike tires that make it alot of fun on the pavement. Comparable bikes are the WR250x and KLX250sf.
These bikes are much taller and considerably more powerful. Ofcourse they are also more expensive.
The DR650 and KLR650 are also good bikes to consider for a larger rider. These dual sport thumpers are lighter and less powerful than the 650 twin street bikes, and the seat heights will not be any problem for someone your size. They are also less expensive than the DRZ and WRX.
Craig