@michellepetty This sounds rather like a bad Mass Airflow (MAF) sensor, except for the fact that your car doesn't have one. Instead, it has a Manifold Absolute Pressure (MAP) sensor to tell the engine how much air it's getting.
I haven't worked with MAP sensors to any significant extent, but from my reading you can troubleshoot it in the same way as you would a MAF. Basically, you unplug it and see if the car runs better. When you unplug the sensor, the engine computer can tell it's not getting any readings from it, and falls back on a set of pre-programmed values for the fuel flow. This isn't as accurate as the MAF/MAP, but should allow the car to run fairly normally if the MAF or MAP is malfunctioning.
So the diagnosis is as simple as, unplug it and drive the car. If it works better, replace the MAF or MAP as appropriate. The thing is, a failing MAP sensor may not be bad enough to trigger a trouble code, but it can easily be bad enough to make the car run like crap. If you'd like to learn more, there's a whole page of information all about it with detailed troubleshooting instructions and everything.
Making sense of your sensors: MAP sensor
Given that it looks like your particular sensor is a bit spendy, personally I'd try some of the debugging steps listed before I threw a hundred dollar part at the car in hopes it would fix it, but of course, that's up to you.
I'm not a Honda guy and this is just my best guess, but I'd say it's something worth looking at given that it matches your symptoms; car running awful with no trouble codes. Good luck, and let us know what you find!