I need to lose fat, but keep my vert.

StrumSetShred
Okay so I am training for the summer and I need to loose some fat. Currently I am 220lbs at 5ft8in. I am big because of muscle and do to excess fat. I have the body type of like a bouncer at a club. Everyone is telling me to run except my volleyball coach. He said that running will kill my vert because it works different muscles in my legs. So what should I do?

My current routine involves 5min jumping rope as a warm up, 1min side to sides, 5 50ft sprints, squats(till I can't), 15 burpies, leg ups(one leg on a bench and you explode off of that one leg 15 each leg), 5 stair sprints, 20 standard, 15 tricep, 15 gator and 10 diamond pushups, 50 standard, 40 alternating and 30 bicycle sit-ups, 25 flutter kicks, 15 leg lifts, and some light weight lifting ie 25lb curls, 175lb bench, etc.

I do 2 sets of each workout. Should I add or scrap any of them? I need ways to burn fat besides running. So please help me out if you can.
I need to lose fat, but keep my vert.
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