As Clip shows you're not too old.
I would say a good tactic should be to try and really work on those firms which will want medical law knowledge, then your masters isn't something they vaguely register whilst still comparing you to others based on your undergrad scores but something that 'adds value'.
Firms to try if I were you:
Bevan Brittan (
http://www.bevanbrittan.com/careers/trainees/Pages/trainee-recruitment.aspx) as they will ignore a 2:2 in the event of 3 years 'relevant, commercial experience' which your current work could fulfil. Also, they do a lot of work for the NHS (including NHSLA) so your masters will count for more here.
Irwin Mitchell (
http://traineerecruitment.irwinmitchell.com/Pages/default.aspx ), they're less fussed about academics it seems judging by Chambers Student 'how to get into' web extras bit and do a lot of PI, clinical negligence etc. work where your masters will again carry more value than at a normal commercial firm. They also offer ILEX judging by this article:
http://l2b.thelawyer.com/pinsents-joins-growing-trend-with-launch-of-apprenticeship-scheme/1009572.articleTwo firms with a big focus on health are Capsticks (
http://www.capsticks.com/graduate-recruitment.php ) and Hempsons (
http://www.hempsons.co.uk/join-us/training-contracts/ ) and again would value your masters far more than other firms. Though here a significant proportion of people applying will have something to do with medical law or medicine beyond an LLB.
Also, Weightmans (
http://www.weightmans.com/working_for_us/current_vacancies.aspx ) , judging by people on Roll on Friday who did their vac scheme, are a firm with NHS and NHSLA work who recruit a lot of their trainees from within their paralegals, so if you could land a paralegal role there you could set yourself up for a TC.
Also, any other firm on the NHSLA or with a substantial number of NHS contracts (DACBeachcroft if they ever open trainee recruitment again) would be able to use you more than most I guess.
Hope this helps and if you and your superior healthcare qualification could hold off from all these firms I'm applying to until next year that'd be great
Edit: Just seen you have academic proof of extenuating circumstances so surely they should treat you as equivalent to someone with a 2:1 or at least look into your other academic history a lot more? Maybe email or ring the HR grad bod (they won't mind, it is their job) explaining your personal circumstances before you're going to submit your app and ask if there is a way you can submit whilst circumventing any automatic filters they put in place, frankly if they say no to this it's their loss.
Also, firms don't necessarily see Lancaster as the sort of uni that takes someone with all A*s at A level (or equivalent I guess, given you're international and A*s didn't exist at the time for British students) and, though they probably shouldn't, may ask why with your grades you went there rather than Oxbridge, LSE, Durham etc. in case it was down to a lack of ambition. Sure you've got a decent response to this though.