I would rate this 5 stars for taste. I would have no problem serving this sorbet to guests, even if they were not AWers. The hardest part was removing the mango skin (the pulp sticks to it and has to be scraped off). Other than that it was pretty easy. After putting in refrigerator overnight it took only 20 minutes in the ice cream maker.
place whole mangoes in a shallow baking pan and roast until very soft, 70 to 90 minutes
refrigerate until cool, about 1 hour
meanwhile, combine Splenda and water in a small saucepan
bring to a boil, stirring to dissolve Splenda.
remove from heat and refrigerate until cold, about 1 hour
when the mangoes are cool enough to handle, remove skin and coarsely chop pulp, discarding pit
place the mango pulp and accumulated juices in a food processor
add banana and lime juice; process until very smooth
transfer to a large bowl and stir in the sweetened syrup
cover and refrigerate until cold, 40 minutes or overnight
freeze the mixture in an ice cream maker according to manufacturer's directions (Alternatively, freeze the mixture in a shallow metal pan until solid, about 6 hours. Break into chunks and process in a food processor until smooth.)
Serve immediately or transfer to a storage container and let harden in the freezer for 1 to 1-1/2 hours.
Serve in chilled dishes.