Hell yes! That looks like a great option for cutting. Do the cardio, on non-cardio days, do weight training (8 reps is a good range), and stick w/compounds so you're hitting the most muscles w/ the fewest exercises.
One thought -- you may consider doing 2-3 cardio sessions a week for now, and see what happens. That way, when you stop dropping weight, you can add in another cardio session (brining you up to 3-4) instead of having no other options but dropping cals again. The point being, if you've already maxed out the cardio, you've got nowhere to go when you stop losing fat other than dropping cals. And you can drop cals for a while but eventually you'll be so low that (1) your metabolism will work against you, and (2) you'll lose muscle easily b/c you just aren't eating enough. I'd use as little cardio as possible to get the job done. When it stops getting the job done, add in more cardio. When that stops working, drop your cals a little, and maybe go back to 2-3 cardio sessions again . . . and repeat. Basically, if you can keep your cals high, it's better to do so.
Or you can just run your ass off, eat reasonalbe amounts of food, and watch the fat drop off quickly, but you'll risk losing muscle too. How much "muscle" is under that 27%? If not much, then screw it. Lose fat quick. Then return to building muscle once you've leaned up.
I was 27% in July, BTW. Didn't "feel" like it but I was. I took the slow, careful route and lost maybe 4 pounds of LBM and am at about 16% right now. I think that's decent progress. Not great but not terrible either.