I would not assume that ground anything, turkey, pork, chicken is any "safer" than the beef. Who knows what color slime they use in those products. Filler is filler - if the concept worked for one, you can bet it worked for the others.
As others have said, get it ground up while you wait. If they won't do it, tell them they're not real butchers and take your business elsewhere. Buy local meats as much as possible. Support the local farmers. The bulk beef producers would love to put em out of business. Don't let that happen.
As for organic beef, I prefer it. It costs more of course. But I'd rather pay for good food than for medicine later, but it doesn't always have to be organic. Grass fed is prime, for me. The idea of cattle standing in muddy e-coli loaded shit stalls all day while eating corn is not where I want my beef to come from. They get an ass load of meds due to those conditions. Cows eat grass and will be virtually e-coli free by doing so. Eating grass means they have to move across a pasture to do so. Grass fed doesn't have to be labeled organic though. Grass fed is what the the generations grew up on. E-coli and beef recalls never made the headlines back then like it does today, where a load of beef can come from thousands of different cows from who knows where.
EDIT: Oh, and before I forget, you'd be shocked at the "lesser" countries that require their beef products be labeled if if has fillers, etc, whereas here in the USA, we don't have to stick a label on it. The beef producers say that would confuse and scare the public. In other words, "don't worry people, we will control you, so STFU and eat your slime." The people in power are all in pocket. They move from the front offices of the producers into the government, where they then open the door for the corporation to move it's product through w/o delay. You think you get a control point from the USDA, until you see who runs the USDA. I'd love to see how much pink slime beef they enjoy at a cookout. How else can you explain that they can add chemicals to the beef to clean it up, but not label that as an ingredient, because well, technically, it's not an ingredient, it's a process! Mmmmmm! "Ammonium Hydroxide - it's what's for dinner!" Nah - that'd never have gone over too well with the consumers. Best not to confuse nor frighten them. re: Us. Me. You.