You can't launch a national campaign from a House seat. She's clearly very ambitious and this was her best shot at becoming a Senator and getting the position she needs for a future Presidential run.
If Baugh manages to win because of Min's DUI then she has an easy path back to the House too. She could also run for Governor, but her Whiteboard shtick really only works for a legislative body.
Yeah I am worried about Min but fortunately for us, there's a chance he might not be the nominee. Weiss is running a really agressive campaign