Ronner, if it's a proper chest infection with fever, fatigue, breathlessness and lots of green spit, then STAY IN YOUR BED! If it's more like a dose of the cold that has "gone to your chest" and left you a bit wheezy and short of breath but otherwise OK (which is presumably the case if you're thinking of cycling), a couple of light weeks are in order.
Pack in the fruit and vegetables and be sure to get plenty of sleep.
You have plenty of time to catch up on lost training before the NYCM. Don't take risks with your health now.
Cheers, boring old V-rap.