IF you want the table to be built each time the trigger runs then you have no choice but to use the the system tables to find the columns and create a table with those column definitions. Of course your first step will have to be to drop the existing table or the trigger won't work the second time someone updates a record.
However, I think you need to rethink this process. Dropping a table then creating a new one every time you change a record is a seriously bad idea. How is this table in anyway useful when it may get wiped out and rebuilt every second or so?
What you might consider doing instead is create a dynamic process to create the Create trigger scripts that have the correct information for that table but which are not dynamic. Then your configuration people need to run this process every time table changes are made.
Remember it is critical for triggers to do two things, run as fast as humanly possible and account for proccesing all the records inthe batch (triggers should never have row-by-row proccessing or other slow processses or assume only one row will be in inserted or deleted tables) Dynamic SQL in a trigger is porbably also a bad idea as you can't test out all the possibilites beforehand and can bring your whole production server to a screaming halt when some unexpected thing happens.