If I had to choose, I would pick Jurevicius. He is a dependable target with fantastic size that is made for the slot role. However, he could play #2 if asked.
Neither receiver would replace Givens fully. That being said, I would take Jurevicius as a 3rd WR with Givens, Wayne or Moulds as a #2. The signing of Jurevicius would not deter other wide receivers from wanting to sign with us because he is a veteran, not a prospect. Randle El's signing would make it harder to sign other prospects, and Givens would never sign with us if we also signed Randle El.
Assuming we resign Davis, Dwight and Childress, and maybe Brown, what possibility would you prefer:
A. Branch, Randle El, Davis, Dwight, Draftee, Childress
B. Branch, Other WR Signing, Jurevicius, Davis, Dwight, Childress
I think that Jurevicius is good enough to be a short-term #2 WR. However, he has played #3 receiver in Seattle so I doubt he would be unwilling to play in this role.
Other WR prospects that are UFA and possibly worth signing:
Arnaz Battle, SF (RFAs): 59% catch rate. Has made some spectacular catches for the 49ers. Battle would work well with a QB that was qualified for the position (aka not Alex Smith). Battle would require a 6th round pick as compensation.
Antonio Bryant, CLE: 56% catch rate. Bryant is a big receiver (6'2") with a 1000-yard season under his belt. He gets open and had an impressive 14.7 ypc average last year.
Reche Caldwell, SD: 65% catch rate. Though Caldwell has played a nickel role most of his career due to injuries, he has good hands and decent size (6'0").
David Boston, MIA: Don't laugh. Boston only had 4 receptions with the Dolphins this year and could be looking for a comeback. Would be extremely cheap if we wanted him.
Rod Gardner, CAR: 50% catch rate. Though he doesn't have the best hands, Gardner has two 1000-yard seasons under his belt and could be an asset. A boom-or bust prospect.
Az Hakim, NO: 59% catch rate. Hakim has been in the league for 8 years but is only 28. Hakim would be an excellent pickup as a WR if Davis or Dwight didn't resign.
Koren Robinson, MIN: 59% catch rate. Made the Pro Bowl as a kick returner. Even if he doesn't play much as a WR, which I suspect he would because of his size and speed, you can always use a good KR/PR. Though he has had a lot of controversy lately, he may still be worth a pickup.