I'd be hard-pressed to recommend any MBA program that doesn't require the GMAT. Personally, I don't think that any are worth the investment in terms of career services, networking, or cohort quality - and you'd be better off just taking free online classes through coursera or other options.
Maybe instead, you could leverage your work experience to get into an EMBA program, which sometimes don't require you to take the GMAT. Lancaster's EMBA is within your budget, as is Nottingham's. Even though your work experience is a bit lower than the average cohorts in these programs, they do tend to be relatively flexible.
I'd be hard-pressed to recommend any MBA program that doesn't require the GMAT. Personally, I don't think that any are worth the investment in terms of career services, networking, or cohort quality - and you'd be better off just taking free online classes through coursera or other options.
Maybe instead, you could leverage your work experience to get into an EMBA program, which sometimes don't require you to take the GMAT. Lancaster's EMBA is within your budget, as is Nottingham's. Even though your work experience is a bit lower than the average cohorts in these programs, they do tend to be relatively flexible.