If you are sure that you will do graduate studies post bachelors and if you don’t care much about brand name recognition to your friends and relatives in India then go for LACs. You can get pretty good ones for your profile at that cost with need based and/or merit aid.
If you want name recognition in India then 50K is too low a budget except may be Purdue. If you want to get a job immediately after Bachelors LACs might not be best choice as well.
Also CS/DS will be hard to get into. Instead Math/Econ with a minor in CS/DS might be better options. Of course if you go LAC path then you can do any major or double major. There are situations where you can get admitted for one and then later switch majors as well.
Also considering that you play basketball etc. I think you will enjoy LAC life where 30%+ of the students tend to be athletes and there is lot of scope for intramural sports and even college level sports participation if you are really good.