I'm currently a resident at Loma Linda and would be happy to share...
Clinical training: We're the largest tertiary care medical center east of LA (that means between LA and Phoenix, all the way north past Vegas). So we see a great deal of pathology. We have a 3 hosp system: VA = bread & butter cases, etc. Med Center: tons of outside transfers for the stuff other people couldn't figure out or got frustrated with, extremely complex patients - especially MICU/CCU. And my favorite, Riverside County....which could go head-to-head with any hosp in the US as far as pathology goes. You will never work so hard, yet feel so satisfied than when you're at county. You will deal with an incredible spectrum of pathology and a large volume - two things that will make you a good doc. Bottom line: you won't be spoon fed here. You will have the chance to see and experience a lot! The more you put into it (ie. read, explore), the more you will take out of it
Research: if you're interested in doing research with a big name person - don't come here. because it doesn't really exist. It's just not part of the mission statement of the hospital. But....if you are motivated and want to do research while you're here - there are opportunities - you just have to create them (probably true for most programs that aren't oozing publications; ie: UCSF, Hopkins, etc)
Location: leaves a little to be desired - but it depends on what you're looking for. Many of my colleagues have kids and family, and enjoy the affordable SoCal lifestyle. Personally, this is the biggest drawback for me. But I chose to be here, and thus I can't complain. The upside, is that you are close to LA, SD, beaches, etc. It just takes motivation (and gas & patience with traffic) to get there - which are often lacking when you're post-call or only have 1 day off a week.
Fellowship: We have 'em all (except Endo & ID). Our program typically goes: 1/3 fellowship, 1/3 hospitalist, 1/3 primary care. This year, 7/8 matched. The one guy who didn't is an incredibly smart guy - so not sure why he didn't match. They are friendly to their own here - usually taking ~50% from here.
Overall: I think LLU is a little hidden gem of an academic center. It's not the sexiest thing out there, but if you work hard here - you can do what you want afterwards