Possible to Fix Baggy Stomach Skin Without Muscle Repair?

Although it would be possible for you to have a tummy tuck with skin removal only, your results would be underwhelming. From your picture, it's readily apparent that you have significant laxity of the midline abominal wall muscles. This is the major contributing factor to the bulging of your abominal wall. Removal of skin without tightening this layer would result in only minor differences in appearance.
So, although it is possible for you to have a skin-only tummy tuck, it would almost certainly not be worth the expense involved.

It’s
definitely possible to perform an abdominoplasty without tightening the
underlying muscles.When patients have
loose abdominal skin and tight underlying muscles there’s really no reason to tighten
the muscles.Unfortunately this
situation is rare and most patients need their muscles tightened.Your pictures suggest the presence
of loose saggy skin, weakened abdominal muscles, excess fat and stretch
marks.Correction of this type of problem
requires a full abdominoplasty. Although
this procedure could be performed without tightening the muscles, the result
would be less than optimal.Under these
circumstances, clinical results and satisfaction rates would be adversely
affected.The best results are obtained when
correct analysis is performed and the best surgical option is applied.For these reasons, it’s appropriate to
consult a board certified plastic surgeon with experience in this area.This surgeon should be able to formulate a
treatment plan that addresses your anatomic findings and achieves your
aesthetic goals.

I think if you declined the muscle repair in the course of your abdominoplasty you would be short changing yourself. The benefit of the muscle repair performed during the course of the abdominoplasty outweighs the small potential increase in recovery timeIn the performance of a full abdominoplasty, an incision is made from one hip to the other. The incision is carried through the skin and fat layer and stops at the muscle layer. At this level the skin and fat layer is elevated off of the underlying muscle layer. This elevation is continued up to the belly button. An incision is then made around the belly button to keep it in it's normal location allowing the skin and fat layer to continue to be elevated up to the rib margin. Very often tightening of the muscle layer is then accomplished before removing the excess skin. The loose skin and fat layer is then pulled down snugly and the excess skin and fat is then removed. The belly button has not been moved or removed. It is still in it's normal location underneath the skin and fat layer. An incision is made over the belly button and it is pulled up to the surface and re-stitched in it's original location.
By this description I hope you can see that the majority of your recovery is in the other components of the abdominoplasty.My simple and illustrated video may help you--learn more about tummy tucks and other body contouring procedures.