Three thoughts (maybe #3 is best):
1) Maybe it's just me getting lucky finding my bike locally here, but if all else fails, try Craigslist in Austin and San Antonio.
I think the bike's current location in Laredo (being at the edge of the country) is making things much tougher than they should be, but conceivably it's only a day's ride or trailer home from the above-mentioned two cities full of affluent artsy types who should appreciate the CB1100's seductive charms.
(Why "if all else fails?" Your biggest issue may be filtering out the CL con artists to find the truly interested buyers--my CL seller only accepted phone calls, which might be a smart move to find the truly serious buyers--I was the only one he had to deal with and I paid cash with no haggling!

)
2) On another track, just in case you or a prospective buyer needs it, here is the lnk to CA DMV chat:
https://www.dmv.ca.gov/portal/chat-bot/
Maybe I was lucky, but I got immediate responses and the answers that I needed in minutes. I didn't expect a pleasant experience, but was happy to be happily surprised.
3) My last idea is (if you have not already) make folks on Two-wheeled Texans aware of your bike:
https://www.twtex.com/forums/forums/for-sale-wanted.12/
Like on this forum and ADVrider, you should get quality offers without the kinds of issues like you might get on Craigslist.
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Best of luck Venteuri!