Can you contribute $11,000 to an IRA? I thought the limit was $5,500. (oh, are there 2 of you? :) ) Also, "Low" AGI is a relative term. How low is low? My son made around $20k last year. I didn't even realize there was a retirement tax CREDIT for low income earners. Retirement Savings Contributions Credit, or "Saver's Credit"
If you qualify for the credit at all, it starts at 10% of your contribution, and there is a 20% level for lower income folks, and a 50% rate. After playing around with the numbers, I advised my son to open a traditional IRA that brought his income down to the 50% level, so he qualified for the 50% tax credit. After that, he opened a Roth IRA so his total IRA contributions were $5,500.
For 2018, Married Filing Jointly, the 10% credit is for AGI of $41k - $63k, so if your traditional IRA contribution can get you below $63k, or into the 20% or 50% bracket you should factor that into your decision.