Urgent help required - Apply or not apply?

Hello all,

First, a quick view on my profile:


Work experience

- 25 Italian. 2 years in top consulting firm (MBB), sponsored for MBA because of extraordinary performance (ranked top of my class). Additional 1 year work experience (internships) in different sectors (top legal firm, fortune 500 abroad, public sector..)

Education

- 2 Bacherlor's completed simultaneously (law & economics) in top school of the country. Avg GPA ~top 20% (but you must consider I studied twice than the average). Several leadership roles taken during college (first time winner of my university of big international consulting competition - team captain-), dorm council leader
- GMAT 680 (Q44,V38) - here is the big issue -
TOEFL: 113

Extracurricular

- Active member of LGTB comunity (active volunteer in NGO specialized in LGTB issues)
- Also work with children at risk of social exclusion
- 4 proficient languages

Others

Had to part-time work to fund studies. First in my family graduating from college
Went to music school for 7 years

Schools of preference for Full time MBA

Columbia J-Term
Booth
MIT
Stern
Kellogg
UCLA


Second, let me then present my dilemma:

First, I took the GMAT for the 3rd time 2 weeks ago and ended up cancelling the score as I had not improved the previous one. I have a very demanding job and cannot dedicate much time to studying, although I am 95% SURE I can do better than 680 (got quite higher grades in the mocks , but I get kinda blocked during the exam)

Second, I have more or less my applications ready for R2 for Stern/Kellogg/Booth, but would have time to prepare one or two more this week (deadlines are most of them in the second week of Jan). My recommendation letters are going to be I expect quite strong (partners in the Firm).

Now, the problem is...

I was thinking about taking a shot at R2 Stern(R3 for tihs one)/Kellogg/Booth and see what happens. If I get dinged I'd try to retake the exam for Columbia J-Term (although I heard 680 is not that bad for the J-Term). The issue is that if I reinstate the score and get dinged in these 3, I assume that score will stay in my report forever (even if I try to improve it for future applications such as J-Term for CBS or others in R1 next year, which I am afraid could harm my odds)

Honestly, as I am being sponsored and plan to return to my current Firm, I see the MBA as a chance to stop for 2 years, learn new stuff, meet amazing people and perhaps discover what I like, so I do not have a super strong preference for any program (ofc I'd love to go to HBS or Stanford, but see it quite difficult with those stats).

So.. what would you guys do? As you can imagine, I have to make a decision today/tomorrow.. and honestly I am quite unsure about everything.

Thank you so much for your help!!