To give you a rough idea, here are players who are stll available for rounds 4-7

RB
Lamar Miller, Miami (FL)
Chris Polk, Washington
Robert Turbin, Utah St
Chris Rainey, Florisa
Cyrus Gray Texas A&M
Edwin Baker, Michigan State
Dan Herron, Ohio State

WR
Chris Givens, Wake Forest
Marvin Jones, California
Marvin McNutt, Iowa
Jarius Wright, Arkansas
Joe Adams, Arkansas
Tommy Streeter, Miami
Nick Toon, Wisconsin
Juron Criner, Arizona

OT
Bobby Massie, Mississippi
James Brown, Troy
Zebrie Sanders, Florida St
Brandon Mosley, Auburn
Tom Compton, South Dakota
Senio Kelemete, Washington
Andrew Datko, Florida St
Dustin Waldron, Portland St

G
Brandon Washington, Miami (FL)
Luke Nix, Pittsburgh
Joe Looney, Wake Forest
Ryan Miller, Colorado
Rishaw Johnson Cal (PA)

C
Ben Jones, Georgia
David Molk, Michigan
Philip Blake, Baylor
Garth Gerhart, Arizona St

TE
Orson Charles, Georgia
Ladarius Green, LA-Lafayette
Taylor Thompson, TE, SMU
James Hanna Oklahoma

QB
Kirk Cousins, QB, Michigan St
Ryan Lindley, San Diego St

DT
Alameda Ta'amu, Washington
Josh Chapman, Alabama
Billy Winn, Boise St
Dajohn Harris, USC
Kheeston Randall, Texas
Marcus Forston, Miami (FL)
Mike Daniels, Iowa

DE
Jared Crick, Nebraska
Trevor Guyton, California
Cam Johnson, Virginia
Jonathan Massaquoi, Troy
Malik Jackson, Tennessee
Jack Crawford, Penn St
Trevor Guyton, California
Frank Alexander, Oklahoma

OLB
Ronnell Lewis, Oklahoma
Terrell Manning North Carolina St
Keenan Robinson, Texas
Kyle Wilber, Wake Forest
Nigel Bradham Floria St
Danny Trevathan, Kentucky
Josh Kaddu, Oregon
Emmanuel Acho, Texas

ILB
James-Michael Johnson, Nevada
Travis Lewis, Oklahoma
Tank Carder, TCU
Jerry Franklin, Alabama
Audie Cole North, Carolina St
Vontaze Burfict, Arizona St

CB
Brandon Boykin, Georgia
Alfonzo Dennard, Nebraska
Josh Norman, Coastal Carolina
Ron Brooks, LSU
Omar Bolden, Arzona St
Trevn Wade, Arizona
Chase Minnifield, Virginia
Asa Jackson, Cal Poly
De'Quan McKenzie, Alabama
Ryan Steed, Furman
Chris Greenwood, Albon
Donnie Fletcher, Boston College

S
George Iloka, Boise St.
Markell Martin, Oklahoma St
Antonio Allen, South Carolina
Trent Robinson, Michigan St
Aaron Henry, wisconsin
Duke Ihenacho, San Jose St
DJ Campebll, California

I like these guys as options for us in the 4th round

1. LB Ronnell Lewis, Oklahoma
   
2. RB Robert Turbin, Utah St
   
3. TE/HB Orson Charles, Georgia
   
4. CB Brandon Boykin, Georgia
   
5. C Ben Jones, Georgia
   
6. CB Alfonzo Dennard, Nebraska
   
7. S George Iloka, Boise St
   
8. LB Terrell Manning, North Carolina St
   
9. OT Zebrie Sanders, Florida St
   
10. DT/DE Jared Crick, Nebraska
    
11. LB Travis Lewis, Oklahoma
    
12. OT James Brown, Troy
    
13. RB Chris Polk, Washington
    
14. DT Alameda Ta'amu, Washington
    
15. WR/RB Chris Rainey, Florida
    
16. LB James-Michael, Johnson, Nevada
    
17. DE Jonathan Massaquoi, Troy
    
18. G Brandon Washington, Miami (FL)
    
19. CB Chris Greenwood, Albion
    
20. OT Bobby Massie, Mississippi
    
21. DE Malik Jackson, Tennessee
    
22. LB Tank Carder, TCU
    
23. CB Omar Bolden, Arizona St
    
24. DT Josh Chapman, Alabama
    
25. RB Cyrus Gray Texas A&M
    
26. CB Ryan Steed, Furman
    
27. LB Nigel Bradham Florida St
    
28. OT Luke Nix, Pittsburgh
    
29. TE Ladarius Green, LA-Lafayette
    
30. WR Tommy Streeter, Miami
    
31. OT Brandon Mosley, Auburn
    
32. DE Cam Johnson, Virginia
    

I can't imagine Bobby Massie or Ronnel Lewis lasting much longer. A few other guys I like

Alameda Ta'Amu DT
Omar Bolden CB
David Molk C
Brett Roy DL
James Michael-Johnson LB

I hope Ronnell Lewis is available at the bottom of the 4th. I wouldn't have thought it possible, but there is plenty of LB talent available plus there are some very good talent available DB, RB, WR and in the trenches.

Turbin is a good hard runner but not sure if the Giants would pull the trigger on another rb.

A couple tight ends I like later on are Rhett Ellison and George Bryan.