For ordinary debt, credit card, loans, cars etc, moving is one way to...how do I say this "cheat the system"
I work for a bank, in the credit department(although I do work in IT, I used to be a credit advisor and know a lot of "tricks" heh heh ), and we have absolutely no way of chasing debt from those who have moved countries, we don't even bother, we just register it with a credit agency, where it will sit for 7 years.
Now, if you happen to be abroad for 7 years, well then... good luck to you...
This system also works if you move around/change your name alot in the UK, of course, we can and do use private investigators to find people, but at considerable cost to ourselves, so if the debt is small, likelihood is...credit reference agency, wait 7 years etc etc.
Damage to your credit file is pretty severe in these cases, and you will find it impossible to get a flat/mobile phone/ etc etc with these. After 7 years you will need to work VERY hard at getting your file back up again. There are ways to...cheat this too.
If you do decide to run from your credit, it eats at you constantly, sleepless nights etc, I wouldn't recommend it, as someone has said , you may need to return to the US, you may want a job which will do a FULL credit check (like with a bank/insurance company etc)and these things will lose you your job or chance of a job, even after the 7 years (it isn't "wiped" per se...just sort of greyed a bit)
The easiest way of doing this is to face it head on "hello, I'm in financial difficulty, this is my budget, I can only afford £5 a month" most creditors will take it rather than risk getting nothing out of you, often interest etc will be frozen.
And you get piece of mind for a few pounds a month.