I absolutely don't want to diminish what you are feeling, and as you have said you have already tried to spin your experiences, but I truly think that any experience you have can be used in an impressive way. I found that the work experience/CV sections meant a lot for my applications, so While I didn’t need to write about how working at McDonald’s made me want to be a solicitor in my main application, it was hugely beneficial in the work experience section to highlight transferable skills and basically tell firms that if I can handle all the downsides that come with a job like that, I can handle a law firm.I appreciate the sentiment within your message. But my thought process isn't based on a single person's success. It's a view which I've developed across multiple application cycles (after seeing who makes it, and who doesn't).
I'd say that around 40-45% of my LLB cohort landed a role in commercial law prior to (or immediately after) graduating from university. In stark contrast, I've also seen some very bright people return to their home countries because they were unable to land a TC. And, these people didn't return home because they were incapable of becoming a commercial solicitor – they were effectively forced to return because they couldn't impress graduate recruitment.
This application cycle, I've written some of my best applications ever. I have only applied to firms which specialise (or have strengths) in the areas of law I am passionate about. I've had my applications reviewed by future/current trainees at the firms I've applied to. Their feedback has been very positive. These applications have been tailored, specific to the firm, and have demonstrated my knowledge/interest/experiences. Yet, for the vast majority of applications I've made, I haven't even been invited to a second stage.
The simple fact is that, while my grades are decent, my experiences aren't that impressive. You had a vac scheme before you secured a TC at a top US firm. My experience is limited to open days and the subjects I studied at university. I promise you, no matter how hard I try to spin the experiences I have, I won't be as successful as you without a great deal of luck.
My second piece of advice is to call/email anywhere with a legal team and see if they have the capacity to offer you work experience. Most of my experience was outside traditional law roles and I really struggled to secure vac schemes, but I managed to get experience in a company’s in-house legal team. It’s probably one of the most valuable things on my CV now.
I know how disheartening the process can be. All it takes is one firm to say yes, and that will happen if you keep going!