i guess it depends on how you want to ride and if you all want to ride together? a taxi might be the cheapest, but i foresee to cabs. i’d probably spring for the limo, even if you didn’t meet the time limit, but you can also hire a car or van. every service will have some sort of minimum i’m guessing.
ETA - i mean there is also disney bus/resort service if you are just wanting to get from point a to point b - walk to the boat dock for example, take the boat to DHS (i think thats where a boat from there goes, may stop at the boardwalk or something), then take a bus from whichever park to AKL. if it is for dining, in wedding/nice attire, i’d either just hire the limo and budget for that or take a cab! i think you are staying at AK and going to the dolphin for your wedding then going back, to me a ceremony/cake of about 1.5 hours would fit exactly into a 4 hour minimum of a limo? you get picked up, sometimes not all as one party (two trips), pictures etc... then get back. i think it would be at least 3 hours?