frustrated - LG customer support question...

dear all...

called lg for an rma.
sent phone in, it was tested, confirmed wasn't working properly.
agreed to the work that needed to be done. i was charged 168 or so.
they were going to send me a better than new refurb.
i was happy with that.

they sent the replacement phone via fedex.
was due to arrive this past friday. it didn't.
looks like fedex lost the phone.
i spoke with fedex...opened a case number.
they're looking for it.
have in certain words been told by fedex...phone is lost. we'll keep searching, but, it's lost.
advise LG to also file a claim.

spoke with LG. they filed a claim with fedex.
i figured that meant they would cancel that particular phone from my account with them and they would send a replacement.
well, that's not happening.
apparently, i've been told by LG i have to wait 2-3 weeks until the claim goes through before they can do anything.

so, now i'm without a phone for 2-3 weeks.
how inconvenient is that???

i asked LG why they couldn't send me a replacement. according to their first tier customer support - they just can't.
they HAVE to wait for this thing to play out.

no explanation as to why they can't file the claim and send me a replacement.
if fedex finds it...they send it right back to LG.
no one loses in that scenario.

does anyone out there have any advice, suggestions, or experience with this sort of thing?
i'm leaning towards to finding a corporate level email address somewhere and appealing to them in some manner.
i'm pretty bitter about the whole thing, tbh.

any advice is welcome.

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tl;dr
being held hostage by LG due to fedex losing a replacement phone LG sent me.
they're telling me it'll be 2-3 wks before they'll even consider sending me a replacement.
anyone have suggestions as to who to contact at LG to get better, more thorough customer service??

cheers!