Well, 23 year old me says sweet, older me says no way. But at 23 I wasn't near equipped to build a product from scratch.
What you really need is a CTO that gets founder equity. But you already have a CTO and it sounds like they don't bring much to the table besides you being comfortable with them. Which is important no doubt about it.
So you've got all the founders you need, but still don't have a means to build the product. Building a product from the ground up for non-founder equity and room and board is ridiculous. If you are competing for people with the skills to build a product from zero to MVP and beyond on a global scale, you must realize these same people have the opportunity to do the same thing somewhere else but for an equity share matching their contribution.
I see you have a few options:
* Pay your hackers market salary minus local COL. (2 month contract I'm guessing would be about 20k per head)
* Outsource the job (Guessing somewhere around 50k)
* Replace your CTO with someone who can commit and build the product. (Free)
* Roll the dice with some go getter looking for an adventure.