“stuck” made the most important point so far, in my opinion.
A trusted Rav should be consulted. Pashut pshat, generally speaking, however, is that it’s better to go to a non-Jewish institution where your hashkafos will not be under attack, rather than go to a Jewish institution (or anywhere else, like a broadway show) which will negatively affect your ruchnius.
I am not saying that YU/Stern will certainly negatively affect you spiritually, as the Stern graduates that I know already came from MO backgrounds, but given the objective reports from graduates of that institution, it’s certainly worth looking into.
Regarding the “shidduch crisis”, I could name you both boys and girls who I would have thought that they’d have been married years ago because they have it *all*, and others who I thought would have a hard time and yet married excellent spouses in good time, B”H. It’s all biydei shamayim. Mixing at parties, lichaora kineged halacha, is not the solution, even if it does undoubtedly create some matches.
As for Lakewood, while there *may* be some who are fully supported and more, this definitely is not universal, and it is motzi shem ra on Lakewood to imply that every Lakewood guy is this way. I do not know the exact numbers, of course, but I do know it is far from universal.
(Finally, I find it amusing but sad that wearing pants and having boyfriends is considered more MO, and, for some, an expected outcome of going to Stern, as one poster wrote. These behaviors are simply assur and no amount of “modernity” can be mattir that nor the other issurim that are given a pass due to “modernity”.)