All the how/what/whiches seems finally to have been decided upon.
I was leaning towards travelling back to LA to do a fresh transfer, but a number of things has made me decide to stay here. First of all, the RE has assured me that the success rates of ICSI (Intracytoplasmic sperm injection) vs. conventional IVF (In-vitro fertilization) are very similar. Also, a ton of stress at work has made it close to impossible to take another two weeks off so soon.
So, since ICSI is the preferred method when using frozen sperm, that's the way we'll go.
Video of the procedure below!