Since Fisher and Snead love the most athletic players they can find I looked at the top scores in areas of need. The highest groups are DT and CB. I used their comparison for athleticism compared to NFL players. 50% is your average NFL player. I tried to stick to the names that are supposed to be the best at their positions, but in some cases they weren't the best athletes.
CB Jalen Ramsey 99.3
Vernon Hargreaves 97.3
Murray 87.1 (a corner may not be so likely at 15 because it drops off quickly after that)
DT Connor Wucziak 93.1
Nkemdiche 91.7 ( this scares me because he is athletic with red flags and should be there at 15, but I don't want him.)
Rankins 83.3 (This may be a guy they like)
WR Doctson 94 (he is right up at the top but supposedly should be there at 15. If so he would probably be the most athletic player available at a need position)
Thomas 82 ( there are a few other WRs like Treadwell and Coleman that probably score pretty good. Have to wait for their scores.)
DE Ogbah 82 (so far the highest rated DE)
Shaq Lawson 79.3
Alex McAlister 76.8 ( this guy is someone who Jrry mocked in round 7 due to red flags. He is probably a guy Snead is looking at later)
S J Simmons 96
Sean Davis 93
Killibrew 68 ( surprisingly low. Overall I wouldn't expect a first round safety despite the first two testing so well)
TE Braunecker 78.2 (after that it really drops off an early TE may not be in the cards.......if at all)
OC Jake Brendel 86.1
Ryan Kelly 55.4 ( Kelly is not as athletic as I thought, but the highest rated among the big names)
Glasgow 26.1 (surprised this is as low as it is. but either way Center looks like a third-6th round option)
QB Driskel 87.7 ( Good score but not a first round QB. Athleticism is nice but the mental part carries much more weight at this position, obviously)
Lynch 81.7
Wentz 81.4 (Wentz seems to have the most going for him. This is a good score for a QB. The Rams could try to move to #1 or maybe Lynch at #15)
There would be a few guys to add to this after regional combines and for guys that did not fully compete or compete at all but just the overall feel I get from these scores with athleticism and success on the field I think that WR Doctson, QB Lynch, DT Nkemdiche, Rankins, DE Ogbah are players that the Rams could be targeting at 15 come draft day and barring a trade up. To me the best value would be Doctson, or maybe Lynch depending on what they think his learning curve to be. 15 seems high for Ogbah and high for rotation DTs in general......however Rankins was very impressive at the Sr. Bowl. Snead notices Sr Bowl performances.