I have travelled the majority of Philippines and depends what you are after
My recommendations would be land Manila, drink red horse, Emperedor and eat balut and BBQ chicken heart and intenstines, do Karaoke with the locals, after a couple days then visit Taal volcano, then get flight to Legaspi, bus to Donsol (Mount Mayon and swimming with 40ft Butanding) then flight to Palawan (underground river in Sabang then onto El Nido {best island hopping} (try the birds nest soup)
If you only have 30 hours then Tianamen square, Forbidden City, Temple of Heaven are a must then a trip to outdoor food markets (must try dog, sea horse, scorpion and fish lip with sea urchin soup OR shark fin soup, spend a night out drinking, you may end up more popular than you expense with the Chinese femails. Chinese have certain customs you should read up on before travel, I found them excellent, eager to please and very kind, I once ate a whole crab including the Shell, pincers the lot in a very posh restaurant and then they kept giving me food for free lol.
GWOC (Badaling) possible aswell but travel is a few hours both ways, I went to GWOC in December when it was snowing and very quiet but if in season it will be mobbed betond belief. If more time better to visit other sectors of the GWOC than Badaling. Let me know if any questions