This is the answer in almost every major brand motorcycle dealership when it comes to bikes over 300cc. If it ain't on their showroom floor they won't know jack sh*t about it.

I've never seen the 300cc variant but 650cc is available in the Philippines.
Kawasaki Motors Philippines | Leisure Bikes
I had a variant of the bike above several years ago. I drove that bike to Olongapo and back to Dumaguete several times. Pretty comfortable and capable bike. Don't let the 650cc scare you. The bike is heavy for it's size (420lbs+?) and the engine under-powered. Only way to get the front wheel up is to dump the clutch but the bike can easily handle highway driving and speeds of 150-160kph. The bike is going to be next to useless off-road though. For on-road sport touring this bike does a pretty good job and the parts can be sourced in country rather easily.

I believe the cost will be about 350-380k PHP new for the Versys 650 and anywhere from 240-280k PHP used. I believe there are several of these running around Dumaguete and you can catch them for sale quite frequently. I bought mine in 2010 new from GUD motors on the National Highway just across from Silliman. They might still have them in stock if you are looking to buy new.

Another, and cheaper, option: Kawasaki Motors Philippines | Leisure Bikes (48k cheaper but pretty much the same bike....and the variant that I owned).

 

Just because a dealership says it isn't available in the Philippines doesn't mean the bikes can't be found and bought in the Philippines.



My 2008 BMW G-650cc X-Challenge that was never "available" in the Philippines (BMW Bacolod's first question when I drove up for servicing, "Where did you get that?!"

Again, if you are a somewhat experienced rider (and at least 6'0" with boots on - it's a very tall bike), go for the 650cc with the BMW. This bike is much better suited for driving anywhere in the Philippines than that Kawi you mentioned in the OP....though it is nowhere near as comfortable while riding with a passenger.

I know there used to be a V-Strom 650 sitting at the airport, so those can be found here as well. Kawi KLR 650s aren't too difficult to find either. Starting to see the trend with the adventure bikes? 650 is the way to go.

 

Best way to find these kinds of bikes:

1. Be in the right place at the right time.
2. Know someone who regularly imports these bikes from other countries.
3. Frequently check used motorcycle dealers and/or get to know the owner.
4. Get to know the local M/Cs. (Both Filipino and foreigner.)
5. Search motorcycle buy/sell websites for the bike you want.