Check your dryer manual. Some dryers have the option to vent out the back or the side. You may need to purchase some parts for the dryer but it will be less than remodeling.

Is it possible to just switch the dryer and washer so the dryer and vent line up? You might need to get longer hoses and drain for the washer and move the dryer door hinge side, but again cheaper than remodeling…

If you are set on remodeling it would be sounder, structurally, to move the washer hookups, 3 much smaller holes in the studs than 4 inch holes in a 6 inch studs.