It sounds like you are already disenchanted with the idea of going to Oxford or Judge and so why apply? If accepted you will just be singing the could have should have song.
If I were you I would allocate that time to retaking the GMAT and working on your application materials which are mostly not school specific honestly - recommendation stories, CV, positioning, narrative, goals questions Etc.
I am curious about your age given that you have 4 years of work experience and the three year gap. If you're over 30 then I think European schools would be an essential part of your mix.
However I don't think I would encourage you to go for round 2 because I have no confidence in anyone putting together and a compelling application for two schools in 10 days. Even one school in 10 days is ill-advised, this is a very iterative process if you're doing it correctly, it would be foolish in my opinion and not a good use of your time.
I would recommend you submitting round 3 London Business School in March, it's very competitive however you have a good background for that. And more important round one for INSEAD, also due in March. Maybe HEC.
This is only if you are over 30 and/or feel the need to submit applications right away.
However if those conditions don't apply then nail the GMAT, 730+ differentiate your profile, ie get some leadership experience in a community organization and join Toastmasters. Get your application materials together - which takes deep introspection and months of work - and come correct at Round 1.
https://MBAPrepCoach.com