There are 98 data drive collectibles in the Bloodlines DLC. Almost all of them can be found during the main/side missions of the DLC. If you miss any of these during the story, you should be able to go back in the open world to collect them! You will unlock the Packrat achievement / trophy around 50% of these; however, this achievement / trophy may unlock early or late for you.
Timestamps:
00:00 - Data Drive #1 (Main Mission: Acquisition Target)
00:30 - Data Drive #2 (Main Mission: Acquisition Target)
00:50 - Data Drive #3 (Main Mission: Acquisition Target)
01:05 - Data Drive #4 & #5 (Main Mission: Acquisition Target)
01:31 - Data Drive #6 & #7 (Main Mission: Red King)
02:12 - Data Drive #8 (Main Mission: Red King)
02:25 - Data Drive #9 (Main Mission: Red King)
02:35 - Data Drive #10, #11, & #12 (Main Mission: Jacks)
03:24 - Data Drive #13, #14, & #15 (Main Mission: Jacks)
04:08 - Data Drive #16 (Main Mission: Friends in Low Places)
04:30 - Data Drive #17 & #18 (Main Mission: Friends in Low Places)
05:11 - Data Drive #19, #20, & #21 (Main Mission: Shoeleather)
06:37 - Data Drive #22 (Main Mission: Shoeleather)
06:51 - Data Drive #23 (Angel Side Mission: Bloody Knuckles)
07:17 - Data Drive #24 (Angel Side Mission: Lay Off, Buy Up)
07:44 - Data Drive #25 (Angel Side Mission: Lay Off, Buy Up)
08:06 - Data Drive #26 (Angel Side Mission: Violence)
08:16 - Data Drive #27 (Angel Side Mission: Violence)
08:36 - Data Drive #28 (After completing some Side Missions)
08:51 - Data Drive #29 (Angel Side Mission: Guardian Angel)
09:30 - Data Drive #30 & #31 (Angel Side Mission: Guardian Angel)
11:32 - Data Drive #32 (Angel Side Mission: Guardian Angel)
11:40 - Data Drive #33, #34, & #35 (Main Mission: Spanner in the Works)
12:45 - Data Drive #36, #37, & #38 (Main Mission: Spanner in the Works)
13:55 - Data Drive #39 & #40 (Main Mission: Dark Pattern)
15:02 - Data Drive #41 (Main Mission: Dark Pattern)
15:16 - Data Drive #42 (Main Mission: Dark Pattern)
15:31 - Data Drive #43, #44, & #45 (Main Mission: Fox Hunt)
15:58 - Data Drive #46 & #47 (Main Mission: Fox Hunt)
16:38 - Data Drive #48 & #49 (Main Mission: Fox Hunt)
17:36 - Data Drive #50, #51, & #52 (Main Mission: Fox Hunt)
19:08 - Data Drive #53 (Jordi Side Mission: Rempart Rampage)
19:26 - Data Drive #54 (Main Mission: Red Queen)
19:48 - Data Drive #55 (Main Mission: Red Queen)
20:12 - Data Drive #56 & #57 (Main Mission: Red Queen)
20:42 - Data Drive #58 (Main Mission: Red Queen)
20:53 - Data Drive #59 (Main Mission: Red Queen)
21:07 - Data Drive #60 (Main Mission: Red Queen)
21:18 - Data Drive #61 (Main Mission: Face 2 Face)
21:37 - Data Drive #62 (Main Mission: Face 2 Face)
21:55 - Data Drive #63 (Jordi Side Mission: Laddie)
22:05 - Data Drive #64-#69 (Jordi Side Mission: Devon v Devin London Culling)
23:12 - Data Drive #70, #71, & #72 (Freddie Side Mission: Sparks Fly)
23:41 - Data Drive #73 (Freddie Side Mission: Shipping and Handling)
23:57 - Data Drive #74 (Claire Waters Side Mission: The Hypocritical Oath)
24:20 - Data Drive #75 (Claire Waters Side Mission: The Hypocritical Oath)
24:40 - Data Drive #76 (Claire Waters Side Mission: The Hypocritical Oath)
25:04 - Data Drive #77 (Claire Waters Side Mission: The Hypocritical Oath)
25:14 - Data Drive #78 & #79 (Claire Waters Side Mission: Hostile Takeover)
26:11 - Data Drive #80 (Claire Waters Side Mission: Hostile Takeover)
26:23 - Data Drive #81 & #82 (Claire Waters Side Mission: All Seeing Eye)
27:15 - Data Drive #83 & #84 (Claire Waters Side Mission: All Seeing Eye)
28:20 - Data Drive #85 (Claire Waters Side Mission: All Seeing Eye)
28:40 - Data Drive #86 & #87 (Connie Side Mission: Resistance Business)
29:46 - Data Drive #88 (Connie Side Mission: Protest Punks)
30:03 - Data Drive #89 (Connie Side Mission: Protest Punks)
30:54 - Data Drive #90 (Connie Side Mission: Ghost of London)
31:06 - Data Drive #91 (Connie Side Mission: Ghost of London)
31:16 - Data Drive #92 (Connie Side Mission: Ghost of London)
31:26 - Data Drive #93, #94, & #95 (Connie Side Mission: Ghost of London)
32:26 - Data Drive #96 & #97 (Connie Side Mission: Ghost of London)
33:00 - Data Drive #98 (Open World)