I don't think the 73 type will be counted as recent experience, it's just sim time. Remember you're competing against ten thousand other applicants and most have 200 hrs minimum in the last year working as a professional pilot. Even if you just compare yourself to military guys, you're probably competing against a few thousand applicants with recent experience.

I think most airlines want 100 to 200 hours I the previous year. You just need a flying job to get those hours quickly. I'd look into retired reserves, Regional airlines, part 135 cargo, CFI, pipeline patrol, traffic watch, banner towing, etc (in that order).

Though I did get the type rating using the GI Bill, I think in your case you're better off getting those ten hours in the Seminole. You'll only need 90 to 190 more hours for recency.