If you plan to begin by flying DPS-HKG (as opposed to heading to SWP on Qantas) you should have no problem buying the ticket from Cathay, although I've not seen any discussion here by anyone who's done it. At other locations, Cathay arguably has the best-qualified rtw people so you can expect that if you give them a valid request they will price it for you quickly and painlessly.

If you're in the U.S. call their 800 number and ask for their ticketing contact in Bali. Presumably you're well aware of the SITI ticketing rules that require you to buy the tickets where you start your journey, or pay a higher price.

In the past Cathay NAMRES hasn't had a problem booking your flights and letting you pass the PNR to the foreign booking office for the actual ticketing, but another popular Cathay starting point, Colombo, is so easy to deal with for everything that I haven't tested that recently.

CMB does follow a company rule that doesn't let them sell a ticket against a credit card more than 10 days before the traveler will arrive to physically sign a c/c slip, and if it's really company-wide you may find the same issue in DPS. It's only a concern if you feel you'll be hit by a price increase if you delay ticketing. Wire transfer solves the problem, but is a PITI for many U.S. citizens.

Remember that you'll need to end your rtw in Bali, and either begin the next, or make your way home from there. Perhaps the back half of that business-trip ticket will get you home?

If you follow through on this, please post your results to the forum for others who may be intersted in following your path.