I would put it right where the soccer stadium is now. There is a big field between it and Lancaster that as far as I can tell is just vacant land. Too small to be used as a practice field. Why not move the footprint of the stadium in some, and take advantage of all the room east of the stadium?
I suspect lacrosse fans will not be happy with a stadium with that small of a capacity. I think the soccer stadium only holds about 2500 now, though that could be expanded to 5000 pretty easily just adding stands on the east side of the field. There is of course more capacity on the small hill just south of the field; maybe that adds another 500 or 1000.
This is a significant problem. You ideally have a facility that is big enough for a sports’ biggest crowds but not ridiculously big for other sports.
A 7K stadium would be great for mens and womens soccer but too small for mens and (hopefully some day) womens lacrosse. A 12K stadium might be great for lacrosse but too big for the soccer teams.
Let’s look at some peer schools and how they do things.
Dorrance Field hosts UNC soccer and lacrosse. It has 4200 individual seats.
Carolina boasts one of the finest soccer and lacrosse facilities in the nation.
goheels.com
Klöckner Stadium hosts UVa soccer and lacrosse. It has 3500 seats and room for 3600 more people to sit on the hillside next to the stadium.
I think those are the two best facilities in the ACC.
Since Syracuse lacrosse is so much more popular than UNC or UVa lacrosse, going down to a field with cavities like theirs would be a problem.
I like that you have sized a Syracuse version far bigger. It would be nice to have a room to keep fans dry in bad weather. Individual seats, a state of the art video board, ample bathrooms and concessions and a wide, open concourse would be great. It would probably cost at least $10 million to build. I think a naming gift from a large corporation about to move into the community would be a great way to start building a good relationship with the CNY community.