Integrating HIIT into beginner weight training

[pickletrip]

Apologies if this is a double-post, but searching didn't really answer my question. I'm on the third week of using Barbell Battalion's Rank One program, which has been a lot of fun; however, I really love cardio (esp. biking) and am planning on doing some club soccer in the Spring, so I'm interested in integrating some HIIT into my workout schedule. Right now I'm running about 2 miles after each workout, but the running doesn't feel like it's really giving me much except burning whatever energy I have left after the weights, so I'm interested in moving over to HIIT. My current idea is:

Day 1: Inverted row 8 x 3, Deadlift 5 x 5

Day 2: Off

Day 3: Push press 5 x 5, Squat 5 x 5

Day 4: Off

Day 5: HIIT (running outside)

Day 6: Off

Day 7: Off

Does this seem like a reasonable plan? Are there strength exercises I could/should be adding to days 1 and 3, since if I stop doing cardio after strength, I'd like to find something else to do while I'm at the gym to burn the energy I have left? FWIW, I'm 5'7, 155, 18% body fat, so really looking to improve general fitness more than burn fat. Thanks guys!