I generally wince at 3rd party assistance here, but I’ll go read it all and try to understand the risks. thanks
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I get that.
If you do decide to go with your initial idea and are looking for simplicity rather than having them download a wallet to transmit the transaction you could simply point them to a website to broadcast such as 

The Mempool Open Source Project®
Explore the full Bitcoin ecosystem with The Mempool Open Source Project®. See the real-time status of your transactions, get network info, and more.
Another idea for you is that you might want to make the wallet that the funds are sent to be a bip-85 derived seed from your main wallet. That way if you transmit early as long as you have access to your initial wallet you are not at risk of losing funds.