I haven't kept up with any new buildings for a few years, but here goes:
Dartmouth: shared indoor building for winter, artificial turf field on campus for games.
Yale: shared facilities for winter, if a kid wants to do long toss, take a snow shovel; grass former MILB field off campus
Columbia: off campus athletic center (looks great but I don't know what portion the baseball team has), off campus turf field (really cool field with some stellar city backgrounds)
Brown: don't know where they work out, on campus grass field which slopes away from the batter
Penn: don't know where they work out, on campus grass field (fringe of the campus) with some really weird outfield distances
Princeton: on campus dedicated subterranean practice area (under the athletic center) with a full infield and about half an outfield (ceiling about 40 feet high), grass on campus field
Harvard: shared work out area, grass and coldest field this side of Arctic (wind right off the river)
Cornell: don't know where they work out, turf field on campus.
in general, I thought most Ivy programs had better facilities then most Patriot league teams.
But it doesn't matter how good the winter facilities are, it's almost painful (and sometimes comical) to watch the teams for the first month of the season - there is no substitute for outside practices. The first time S's team was outside for a season was to play LSU, South Carolina, and Maryland (though it was snowing for that series) - in other words, the first time the outfielders got to shag a ball was during the fielding practice which preceded each game.