I wouldn't instantly assume that the ones that sent people to olympic trials are instantly good, sometimes they mean they only train for competitions which is good and bad.
I would first go for the highest ranked and more experienced sensei, you first will need to learn judo, then you can hone your skills.
For example by going to an "elite gym" you may forego ukemi and traditions, you may not learn or even find a good technique, they will probably have you choose from the 5-10 most succesful point scoring throws in the book and have you practice non-stop, you will not learn to teach judo, nor will be able to fully understand and modify to your needs. In newaza you may find a lot of someone stalling and other attacking.
I would much rather go and learn judo basics from a high dan ranked instructors and once i achieved shodan i would go and spar with the elite team, sometimes you don't even need to join a team, sparring partners are always welcome, so if you want to test against the competitive team you can drop sometimes to the dojo and with proper etiquette ask for a chance to spar.
I started judo in college, we had to crash course to make a judo team capable of competing, we have little grappling background and we still managed to learn enough judo to get a few medals, from there it was always competitive judo, while my sensei trained under both traditionalist and an elite coach (who also had good traditionalism) he had a great base in everything and teached us good judo, with good newaza, but the format of training never really let us develop or understand judo.
I had to learn judo backwards, i had to go from what i did which is competitive judo and backstep into the basics, it was hard and i hope i had done it the other way around.
Now that i have backstepped i had made my game a LOT better.
The BJJ analogy would be rolling all the time with blackbelts never learning, you will develop the game fast, will probably learn a few moves that you will excel and get excellent technique, eventually you may catch up, but when facing with teaching or understanding you will be in zero.