You may have a chance for some need-based aid at the most generous schools, such as the Ivies (as others have noted, the Ivies and a few other highly-selective colleges only give need-based aid, not any merit aid). You can use myintuition.org for a quick read on what you might get for academic year 23-24 at a number of colleges.
However, as has been noted above, FAFSA is going to remove the “discount” that is currently provided for multiple kids in college at the same time, starting with your twins’ freshman year. So when you run the NPCs at FAFSA-only schools, you should enter that you have only 1 kid in college at a time, as that is how the rules will be starting academic year 24-25. For schools that also use the CSS Profile, I would suggest running the NPC both ways – with one kid in college and with 2 – because no one knows if the CSS Profile will continue that “discount” or not. It will almost certainly be an individual decision for each school – and I would imagine that any that do will see an increase in applications over those that don’t.
Edited to add that right now, I am assuming that all NPCs and myintuition.org are continuing to factor in the “discount” and won’t switch their formulas for a while. Also, be careful next year when running NPCs – sometimes colleges don’t update their formulas for years at a time even when they change their metrics (I’m looking at you, USC) – so be sure to pay attention to what “entering year” the NPC states the data is for.