Isaac,
If it's tract-level data you want, I'm afraid you're limited to the Comprehensive Housing Affordability Strategy (CHAS) data, a special tabulation from the ACS that has income data already expressed in terms of AMI (so no need for your own calculations).
You can access it at
www.huduser.gov/.../cp.html. Table 11 has the most detail on income levels; other tables provide a bit more detail on the usual groupings (at or below 30%, 31%-50%, 51%-80%, 80%+).
Unfortunately, because it's a special tabulation, it lags about 1.5 years behind the ACS release schedule. Right now, the most current data is for the 2012-2016 period; if previous years are any indication, the 2013-2017 data will be out this summer. If current data is more important than the specific measure of "lower-income," you could always use poverty data (which also accounts for differences in household size).
Good luck!
--Matt