This is a very factually specific area. The Allende decision does permit the CHP to recover costs for an "incident" which means that they had to divert resources on patrol to respond, think of an "accident" and is defined to include 5 elements in the decision. Recovery of costs cannot be had without all 5 elements first being proved by CHP per G.C. 53150 per the Allende court, including NEGLIGENT driving PROXIMATELY causing the "incident". Consult with an attorney as to whether the details of your arrest fall within the definition, and what the chances are that you would be sued. good luck.
Did you have an attorney represent you? You should speak to them about these fees. Generally, there is a place on the change of plea forms for you to acknowledge you can be held liable for expenses of public agencies responding to your incident.
Was there an accident... That is Step 1
Were you convicted DUI... Step 2
Deduct from that bill "normal" DUI investigation processes. Step 3
This is the problem however... Even if you are 100% correct, they will not sue you as you would then have a chance to defend yourself in court.
Nope... They will mess with your credit, add interest to the bill, and someday grab on to some sort of State payment destined to go to you and keep it to pay this bill. You then have to sue them. Not a pretty picture. You can call and try to work something out.