I recommend you try running the Net Price Calculator (NPC) for Boston College and see what it says your Student Aid Index (SAI) is. Without any aid the estimated cost of attendance is $96K per year. Since you said you are willing/able $40K per year (is that right?) you can use the NPC to see if you are likely to qualify for enough aid to make it affordable. If not, you should probably move on and look at other options. It’s best to run the NPC for each school you are interested in.
With your child’s excellent stats there are likely schools that will give good merit awards, including Fordham as mentioned earlier. But Boston College only gives significant merit to a very small number of students.