What undergraduate major is best for busines school applications that is not Business Administration?

I am a sophomore at UC Berkeley, and I have to declare a major soon. I will apply to Haas, but like anyone my chances are slim. In the case I don't get in, I have some questions regarding other majors and how they are seen in MBA admissions. My natural skill-set is more liberal arts than mathematics, and so I will likely do better in a liberal arts major than a more quantitative field. That being said, I know that MBA schools like to see professional experience, and so I have this debate in my mind:

1. If I go for a more quantitative field, like statistics or economics (quant oriented here at UCB), I may have a lower GPA but I will have some internship experience which can lead to a job later down the line. I could then say I need the MBA program to gain more skills for that job, and I feel like this would be a good path as long as my grades do not suffer too bad.

2. I could go for an easier liberal arts major (psychology, philosophy, etc [I mean easier for me as compared to quant subjects]) and likely have a 3.8 GPA or above (given my current track record), but I may not be able to get the professional experience to build my application properly. I may look to liberal arts for business schools.

Some important facts: HBS breakdown of what majors are admitted (typical of other schools): STEM - 36% Economics/Business - 45% Humanities/Social Sciences - 19% So, not many Social Sciences kids get in, or they don't apply. I don't know which is more prevalent and and so any information would be helpful.

I do have an internship at a start-up hedge fund doing analyst-like work. I feel like I would be brought back, but I am not sure. But, I do have SOME business related things on my resume.

I wish to pursue finance in an MBA program.

My main questions: 1. In people's experience, to what extent is it hard to get into an MBA program with a liberal arts degree, and specifically how hard is it to get business experience with it. 2. In general, is GPA or professional experience seen as more important? 3. Is there any bias for or against a liberal arts major applying for an MBA program? 4. Is there any information regarding if there is a lack of applicants with liberal arts degrees or is it that they dont get in? 5. In case my current firm does not want me back, to what extent are IB, PE, AM, or other banking internships off-limits for liberal arts majors? 6. Anything else I should know?

Thanks so much!