I don't have any advice for you because I'm trying to stop taking hydrocodone too but you are not alone. I have to work full-time as well and feel that I have to take them to get by and get to work, etc. I've really just started to face this as being a real problem so reading this forum is helping right now.
Do you have a good relationship with your doc? That might be a good place to start since you have real pain and have to work.
Set a plan, set a date, and set it as soon as possible, then run with it. Surely you can take a few days off or even a weekend. Work around those days to be days 2 and 3 of your withdrawal which are typically the worst days for physical symptoms.
Keep in mind that there are many people here who have gone through the toughest work during the toughest withdrawal so IT IS possible. I believe the exercise and focus from work may actually help during withdrawal in my opinion, rather than staying home feeling weak, lethargic and thinking of all the bad things going through your head, work might be more practical.
Look up all the vitamins and aminos on this site under the Thomas Recipe and Amino Acid Protocol. Follow every bit of it's information. Keep posting here and you will get tons of advice and help, just be honest and let everyone know how you're feeling and there will be someone to help.