This isn’t rocket science. If you license is suspended for not paying child support contact the child support agency and make payment arrangements with them.
If you honestly cannot pay, explain that you are looking for work and give them a time frame on when they might expect a payment.
If you can’t afford the amount of child support you are ordered to pay ask for a modification. The child support agency will assist you in lowering your child support amount if appropriate.
In fact the only thing you can do wrong is not contact the child support agency. Basically they suspend your license to get your attention and to force you to contact them. Contact them and they will very likely work with you to get your license back.
Also, a misconception is that if your license is suspended you must pay your debt in full before they will release your license. For example someone may owe $30,000 in past due child support and not bother contacting the child support agency to get their license back because they figure they need to come up with $30,000 before they can get it back. This is not true.
Call and ask and the child support agency will work with you no matter how much you owe. Their goal is to get you to pay something each month.