Assuming you are from the US, find a cheap return flight to any major Asian hub (Bangkok, Kuala Lumpur, Singapore, Hong Kong, ...). Don't bother with around the world ticket. You can fly to many other Asian countries once you are there via low cost airlines. I don't think I ever paid more than 100 usd for a one-way ticket within Asia.
Travel slow. Find places you like and hangout there for a few weeks. Go to local meetups, language exchanges, spend 25% time in coworking spaces doing a bit of work on a side project. Spend the remainder siteseeing and having fun.
I did this a couple of years ago. Total expense for 3 months (including all flights) was maybe 6000 usd.