DL is picky (because they can be). I wouldn't necessarily hang my hat solely on that.

You already have some types and a degree (hopefully GPA > 3.0).

121 experience is the next obvious step as you know. While there try real hard to get some additional profession credentials other than just line pilot (LCA, Sim, ground instructor, most union volunteer jobs, etc). To break out from the herd you'll want to check as many boxes as possible (helps that you already have types).

Keep your training record clean too.