Im Using METV for that exact purpose. Staying 5 months. Quite convenient, but still need 1 border bounce.
But you could so Single entry That gives you 60+30 days, then bounce and come back on exemption that gives you another 30 + 30 days, or 45 + 30 days depending on when you bounce.
EDIT, i missed your nationality. Can you apply METV from Ethiopia?