Could have run into debt, you say, in Ireland (4)

I believe the answer is:
mayo
'debt you say in ireland' is the definition.
I can't judge whether this definition defines the answer.
'could have run into' is the wordplay.
'could' becomes 'may' (I've seen this before).
'have' is a charade indicator (letters next to each other).
'run into' becomes 'o' (I can't justify this - if you can you should give a lot more credence to this answer).
'may'+'o'='MAYO'
Can you help me to learn more?
(Other definitions for mayo that I've seen before include "Irish county; dressing" , "You'll find it in the Emerald Isle" , "Irish county -- salad cream" , "Irish county (county town, Castlebar)" , "radio presenter" .)
