The following website seems to be pretty clear:
https://www.nps.gov/yose/planyourvis...ildpermits.htm
If your wilderness permit was issued by someone other than Yosemite... your ONLY way to get a half-dome permit is to use one of the lotteries (Preseason or Daily).
As you say, you're past the point for the preseason lottery, so your ONLY choice is the Daily lottery.
You say that it is not feasible given the time you need to enter the lottery, you will be near Thousand Island Lakes.
Is there someone who could enter the lottery on your behalf? Perhaps you could contact them from Red's to let them know what date to start trying to enter you in the lottery.
I seem to recall I could use my cell phone in Tuolumne Meadows. Once there, you could use your phone to see if you won the lottery.
The only question I would have (based on reading the
Half-Dome Permit Page is "How do you get your permit?". Is it an electronic permit or something that must be done in person?
Hopefully, either way, you would be able to get such permit once you reach Tuolumne Meadows (if you won).