Room correction in noisy environment (ARC, Dirac, Minidsp, REW)


I live around downtown Dallas in an apartment where there's a considerable amount of traffic and people noise (thanks Katy Trail Ice House).  I find it very difficult to find the "quietest" time to run my ARC correction.  Will this background noise dramatically affect the outcome? Is it even worth trying?
dtximages
I live in Royse City, on the other side of Rockwall. 

I ended up building my own panels about 5 years ago, and again this past year when I moved. I have two sizes, 2'x4' and 16"x4'. All wrapped in different colors of burlap I picked up at a fabric store. Wish I could upload pics. I use REW and a UMIK mic to measure with. With the panels, I am getting good response reduction from 500Hz to 6.5KHz, with 20db reduction from 1.5KHz to around 4.5KHz.

I had a Marantz AVR with Audyssey, but hardly used it. I don't think it handled my speakers well (Magnepans). I currently have a MiniDSP DDRC-88A and use Dirac Live and bass management features. I'm happy with how it all sounds, but I'm really happy with the fact I can measure and get a quantitative result so I know it's not all in my head!
Woops, typo!  My room is 10db down in the 1.5KHz to 4.5Khz range, not 20db.  That would be something!

You can do a google search on "DIY acoustic treatment panels" and get pretty good info. 
@dtximages I guess the place to start is by getting an SPL meter and checking your ambient noise level. I think as long as it is below ~45dB you'd be okay to run a measurement sweep as long as your speakers were outputting ~75dB - ~85dB, although it could get tricky at some frequencies due to the potential large swing in SPL.

If your ambient noise is really too much, you will need to find a time when it is quiet outside (a holiday?) or do something to block out external noise. Maybe just let your wife know you need like 10-15 minutes of noise one time at night. It should only take about that long once you are familiar with the process, and you can get familiar with it at some other times just by going through it, knowing it is a throwaway calibration.
The fact that you successfully started the Anthem testing suggests it could work at a quiet time as Nekoaudio recommended.