Thoughts

Training with restricted exercises is dreadful. Let's see what movements I can train.

Squat
Goblet squat
Kettlebell swing
Sit up

Note: Goblet squat for full ROM training and also to improve technique.

Deadlift
Glute ham raise
Lunge
Sit up

Note: Thinking of kettlebell lunges to take load off spine, but if grip fails, smith machine might be a decent alternative.

Hang clean
Kroc row
Chest supported row
Rope face pull
Shrug

Note: Unfamiliar with hang cleans, but this could be the huge ballistic movement I need at this point.

Seated dumbbell curl
Tricep pushdown
Chest press 
Calf raise
Side lateral raise (bent arms)

Note: All the small muscle groups I need to hit, plus chest press.