The surcharge is imposed by the DPS but they farm out collections to a private agency. You will be able to work out a payment plan to pay the surcharge over time, but your license will be suspended automatically if you get behind on your payments.
There is a new law working its way through the system that will probably be introduced next summer to significantly change the surcharge system since it's trapping so many financially disadvantaged people in an unintended cycle of license suspension which is very burdensome to them and to the system. Stay tuned until then.
Disclaimer: This answer is provided as a public service and as a general response to a general question, it is not meant, and should not be relied upon as specific legal advice, nor does it create an attorney-client relationship.