You asked about schools that you can attend for $25K/year. The estimated cost of attendance for Syracuse is over 65K/year.
Also, while it’s a good school, it’s far more expensive than even higher ranked engineering programs at many public universities. FWIW, US News ranks Syracuse 80th among engineering programs. SD Mines is at 115, and U of Wyoming at 183. https://www.usnews.com/best-colleges/rankings/engineering-doctorate?_mode=table
You can use the left sidebar to sort that list by price. Note that here, the tuition and fees total is used - this doesn’t include room & board, and other expenses, which can vary widely depending on the cost of living where the school is. For example, the City College of New York (ranked 104 in engineering) looks affordable at $17K/year tuition and fees, but living in New York City is breathtakingly expensive, so unless you have an affordable living option there, it’s probably a terrible idea. Overall, there are only three schools with tuition and fees under 20K/year that rank higher than SD Mines in engineering CUNY, previously mentioned, is one of them… and I think you may have to be a member of the LDS Church to get the tuition rate listed for Brigham Young… so that leaves only the U of South Florida in Tampa, which ranks a few spots higher than SD Mines at 104, but has an estimated total cost of attendance of $33K/year, at least $7K/year more than SD Mines and definitely not a small school, with over thirty thousand undergraduates - more than ten times the size of Mines.
There may be places where you can get merit aid to bring the total cost down, but there’s no way a school like Syracuse is going to give you a 40K/year merit scholarship. Unfortunately, higher education in the US is becoming less and less affordable. It’s easier, as an international student, to find a good value in Europe or in Canada.
Possibly the best value for a high-ranking engineering school is at Iowa State, which this list puts at #43 (considerably above Syracuse). The baseline full-pay cost there is around $34K/year. There are a few scholarship opportunities for international students, but it’s probably a long shot to get it down below $25K/year. https://www.admissions.iastate.edu/intl/finance.php
Another school to look at seriously is University of Alabama Huntsville. It’s an excellent engineering school (particularly known for aerospace) - but by excellent, I mean tied in the rankings with SD Mines - they really are both excellent schools. Huntsville is a small city that is known for having the highest concentration of PhD’s in the nation, as a result of the tech that’s based there. UAH offers automatic merit that’s available to international students - I can’t tell what you’re eligible for without information about your grades, but you can look at the chart: https://www.uah.edu/admissions/undergraduate/financial-aid/scholarships/merit-tuition-scholarships The baseline cost of attendance is 37K/year, but if you have a 4.0+ GPA, the 67% scholarship could get you to your price point… or, if you could get your ACT up by one more point, you’d only need a 3.5+ GPA to earn the full tuition scholarship that would definitely make UAH affordable for you. The 7000 student size seems like a fit for you also. But as with SD Mines, you’d need to recognize that an ABET-accredited engineering program ranked at 116 is indeed an excellent education.