Hi - my name is XXXXX XXXXX I'm a litigation attorney. Thanks for your question. I know this is a definitely a source of worry for you.
But, the good news is that MOST of these things can be resolved without steep penalties, jail time, etc. Also, the only state you really have to be concerned about is the state in which the DWI was received because a bench warrant has likely been issued for you in that state. Bench warrants never expire, so it will be outstanding until you are picked up on it, BUT they're only enforceable within the borders of that state. So, for instance, if you received the DWI in Mississippi and now you live in Arkansas, if you never go back to Mississippi it's really unlikely that anything will ever come of it. On the other hand, if you are traveling through Mississippi 40 years from now and are stopped, go through a road block, etc., and they run your license, you'll be arrested on the spot.
Thus, it is definitely in your best interest to try and get this resolved. The best thing you can do is hire a local criminal defense attorney in the city/county where this occurred and tell him/her what is going on. Let the attorney review the file and speak to the prosecuting attorney about the case. Generally, the attorney can arrange a time for you to "turn yourself in" and be allowed to bond right back out OR go straight to court and see the judge. The judge will probably issue a fine to you, give you a suspended jail sentence and let you be on your way.
Please bear in mind that the judge could put you in jail over this for the original 10 days plus additional time for the contempt, etc., BUT that would be unusual.
That's why it's a good idea to have an attorney arrange the terms of the deal before you turn yourself in so you'll know what is going to happen.