No. Don't do it. You will completely undermine any chances of being acquired, the white-label will own you if they grow larger, and you will find yourself losing control of your code and product. Focus on building your brand, your product. Cut costs if you need to make that happen, any way you can.
If they want a white label, tell them "Only if WE run it, we'll code it, and you won't have access to the code or database schemas."
The other option is "buy us out and we'll run it for you internally."
Cheers.