If you can't or don't want to talk, your only option is to add captions (pretty much all video editing programs should be able to add them. Don't use YouTube captions, they are terribly fiddly and some users disable them). It probably works best for short videos that do not need a lot of explanation or narrative, a full LP style series might be too tedious with only captions.
That said, I do agree that headsets are incredibly cheap and you should probably try to find a way to pay for one if you want to do videos. I can't recommend anything in that range, but cheap ones should sell for under 10 bucks. I use a slightly older MS LiveChat headset at work for video conferencing and normal calls, it's not super-awesome but the voice quality should suffice. The current version sells for $20 on Amazon.
That said, I do agree that headsets are incredibly cheap and you should probably try to find a way to pay for one if you want to do videos. I can't recommend anything in that range, but cheap ones should sell for under 10 bucks. I use a slightly older MS LiveChat headset at work for video conferencing and normal calls, it's not super-awesome but the voice quality should suffice. The current version sells for $20 on Amazon.