I'm not sure. This is a difficult decision. I suppose it depends in part on whether the T3 is in an area where you'd like to practice; unranked schools are very local. I also wonder if there are any strings attached to your scholarship. If you are only likely to save half tuition for one year, I'd choose BLS. If you are likely to save all three years, it could be worth it.
Finally, I caution you about assuming that the other students at the T3 would be "lesser students." For one, entry credentials are just not that precise a diagnostic tool. Also, the savviest students at the T3 will understand how important it is for them to be near the top of the class, and they will therefore compete that much harder.