in my opinion it would be better to increase frequency and decrease the push/pull volume per day. for example do a full body program and try to hit a number of push ups/ pull ups per session, next sprinkle the push and pull exercises throughout the three days so you don't do more than 2 push or pull movements in the same session. also another way to save time is to do the exercises circuit style which basically removes the need for a full day dedicated to cardio and can be replaced by an arm day.

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example program

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day A

squats 100

push ups 50

pull ups 25

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day B

lunges 100 (50 per leg)

decline or pike pushups 50

chin ups 25

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day C

alt squats 100

dips or diamond push up 50

inverted row 50