1. You're not happy about a non issue involving the need to copy/paste a subscribe form from parties other than AWebber
2. Your not happy about having to use a paid emailing management company with their built in newsletter facilities.
3. I'd imagine from comments you've made that you'd also be unhappy about using services that have excellent free plans ... like SendinBlue
4. You're unhappy about installing a free newsletter plugin that uses free SMPT
I'm just scratching my head as to what you actually want to use email list, generated by the subscribe form for? Surely not for sending unprofessional plain old emails with "This week's Specials' or something.
So could you tell me ... what exactly DO you want to use the email list for? Whatever it is ... maybe there is a solution.