I was just toying around with the mock draft simulator at Fanspeak and while I'm not saying that this scenario is likely (hint: it's not), I would be STOKED if the Rams walked away with these players in the first 4 rounds of the draft.
One of the links in the Random Ramsdom today was a link to a mock that had the rams moving to 7 and still getting Matthews. This is a best case scenario and if I could have penciled that in to this mock I would have, but the Fanspeak simulator doesn't support trades. The only MAJOR need not addressed in the mock is Safety, which I believe we will fill via Free Agency.
For those too lazy to copy/paste, first 4 rounds below
1(2) - Jake Matthews (OT) Texas A&M
1(13) - Sammy Watkins (WR) Clemson
2(44) Louchiez Purifoy (CB) Florida
3(75) Gabe Jackson (OG) Mississippi State
4(106) Jimmy Garoppolo (QB) Eastern Illinois