I put in a lot of time and effort planning an around the world flight in a C182; until the other pilot/aircraft owner decided to simply pull out.
The route was across the Pacific; Australia - Auckland (the NZ leg was one reason this person decided to pull out, apparently it was acceptable to visit friends of hers in various locations, but if we stopped to see my family for a few nights it would "destroy the rhythym of the trip"

) - Fiji - American Samoa - Kiribati - Hawaii - California. (I think that was it...)
The longest flight is Hawaii - California, and I think you're looking at 2000nm, not 1500.
AVGAS was available pretty much everywhere except Kiribati, where we'd have had to order some drums in.
We were planning to leave at the start of April (this year, in fact...) and take three months over it, heading east. That seemed to be best for weather.
When I do it, I'm going to do it in a C182 burning Jet-A