If you planned fuel appropriately and had good sea conditions you could go straight from Bimini to Nassau and skip Chub. Some might discourage that but it's certainly possible. When we got to Chub their fuel was delivered that day and due to the sentiments in the fuel tank they will not sell gas until 24 hours after the tanks are filled in order to allow the sentiments to resettle. What I found interesting returning from Exumas is that when we got back to Bimini it was like we had arrived stateside. While many may feel Bimini is remote coming from Fort Lauderdale, it does not compare to the Exumas. There's a lot open water from Florida to Exumas so you would want to really plan it out and take a significant time off to enjoy it all. Alot of things can happen that are out of your control (fuel, customs, weather, breakdowns, etc.) so you don't want to be in a hurry rather have the time to adapt and adjust.
Also in regards to fuel if I remember correctly
@Andy S Cobalt and
@1948Isaac AR240 burned approximately 2.5mpg. They can chime in if I'm wrong. Our entire trip was around 700ish total miles so you can do the math using $5 per gallon. Lodging will cost you $300+ per night. There are other trips within the Bahamas that are much cheaper, but I'm so glad I was able to experience it. If pigs are a big pull for you check out the Abacos. They have pigs as well.