KELLY RUNS BUT CAN'T HIDE FROM EX'S STICKY FINGERS!

SHOWBIZ dynamo Kelly Clarkson is already coughing up nearly $200,000 a month to ex-hubby Brandon Blackstock — and her move to New York could cost her even more while reigniting their bitter custody battle, sources tell The National ENQUIRER.

While settling their messy divorce last year, the 41-yearold singer, Voice talent coach and gabfest host gained primary custody of the couple’s nine-year-old daughter, River Rose, and seven-year-old son, Remy. 

Blackstock was awarded $150,000 a month in spousal support and $45,601 in child support — plus he gets the children one weekend a month.