You have to meet the 30/60 physical presence requirement not just when you apply but also continuing up until the time of oath. Given your schedule that seems dicey.
Also, you'll be disclosing your travel dates. Unless the officer interviewing you is completely out of it, he/she is going to ask you where you live now. Given the travel pattern you're going to have to prove you've maintained continuous residency (not just physical presence) for the past 5 years. No employment abroad (or else work for a US company and file a N-470 - which would solve your problems), pay US taxes as a resident (on Form 1040/A), continue to own a house in the US, have utility bills in your name in the US, have family staying in the US, etc.
Even if you have all the evidence, since you'll be applying while you're in the middle of flying back and forth, the officer could go either way. May very well find that you've broken continuous residency by stringing your 5 month absences together and tell you to reapply after you've moved back. (The evidence presented would at least prove that you have not abandoned your GC.) If you're short on evidence of continuous residency, I think your chances are slim to none and you'll get rejected.
If you'll be working for a US company while abroad, look into getting a N-470. Otherwise, if you're not going to be maintaining the indicia of continuous residency, may be safer to not apply and just get a reentry permit to at least make sure your GC isn't taken away for abandonment. Good luck.