As an ex-T'bird MEI instructor and current Mesaba employee, I can tell you that T'bird would hire you in a hurry. If you have your MEI I could see you building at least a couple dozen hours every month. I did my checkride and had a student later that day.
The Scochman's Duchess has had a prop overhaul going on for the past few months - it may be finished, but for at least the past few month T'bird had the ONLY multi engine aircraft for rent, and I was one of two CFI-Is/MEIs, so I got lots of time.