Right now, the interest rate on back taxes, which is adjusted quarterly based on the federal short-term rate + 3%, is at 7%. Just for example, if that were to stay constant over the next ten years (unlikely), then you could refuse to pay $1,183 of your taxes due every year without the interest and penalties over the ten year statute of limitations ever going over $25k.
You might want to round it down to $1,100 or $1,000 just to be cautious.