While you said not to pay attention to pedigree, I do not think that is possible. How do you buy a critter WITHOUT considering her pedigree? I am not saying WHAT to look for in the pedigree except for solid predictability for whatever you are looking for (clubbie winners, awesome females, hair, performance, etc). I would also say to avoid carriers. Too many good ones to worry about defects carriers.
I would also look at the maternal side of the family tree... good longevity, weaning ratio's, etc are all indicators of a solid maternal line.
I do not like to see too many "donors" in a family line.... personally, that indicatates to me that they can not raise their own calf. Also might indicate a lack of milk production. I look at NATURAL calves, not ET calves. I don't care how well a recep can raise a calf, I want to see how the actual cow can mother and milk.
Structure is of course important. They gotta be able to walk. But to what extent is YOUR call. I have seen many "cripples" (IMO) bring good money because they were hairy or out of "ABC" bull.
I like my heifers/cows to LOOK like a female, and not a steer that pee's out the back. When I look at the head I want to be able to tell she is a "she" and not an "it".
Disposition is HUGE. Walk into the herd. Look for wild looking eyes, and high heads. STAY away... Don't fall for the "they will settle down".... After you look at the heifers INSIST they show you the momma cows. Look at their dispositions in the pasture. If they don't have the momma cow, drive away (unless they have an untouchable excuse...)
I will buy a heifer that doesn't have "that look" if the breeder (notice I didn't say trader) has the momma, and grandma.... if the family is good enough for them, they are surely good enough for me!
Happy hunting. Remember, if you feel pressure to buy, 9 times out of 10, don't do it. Trust your gut!