I got into saltwater aquariums with a rehomed aquarium from a co-worker several years ago. It was a 75-gallon tank with a ~9inch snowflake moray eel (
Echidna nebulosa) like you want. It had 2 cannister filters and a 90-gallon-rated skimmer. The eel grew to ~16 inches within the next several months until triggerfish aggression killed several tank mates and caused a tank emergency/crash. I left a ~1.5inch gap behind my lid screens to dangle mangroves into the tank and the eel slithered out that back gap and fell on the floor behind the tank. I did not find it for a couple days. It was already dead, though not completely dry.
Keeping a snowflake eel in a 75-gallon aquarium with cannister filters definitely can be done, but I agree with
@dedragon and general consensus that cannister filters are more nuisance to clean or replace the filter than a sump.
Also, I have drilled the end panel of a 75 gallon Aqueon tank and think the bottom panel may also be un-tempered glass, but you would want to confirm before taking the risk of drilling your own tank.
If possible, a sump has many advantages over cannister filters.
Another note: I don't know exactly what is meant by eels being "messy eaters" and requiring heavy filtration. This may be true if you try to keep moderately difficult corals in the same tank, but a FOWLR with an eel does not seem more dirty/difficult to me than most any other FOWLR. A hang-on-back filter may be enough if regularly maintained, although I hardly ever hear of anyone other than beginners running a tank as cheaply as possible using this method. People that stick with this hobby seem to typically end up with sumps for filtration options... it really is mostly a matter of opinion, though, as I think a snowflake eel is simpler to keep than all corals except maybe the hardiest/most invasive corals.