There’s finite number of ways of naming a service that provides web services.
One key ingredient is the word “web”.
“Snazzy” might be a bit old fashioned – but it has stood test of time and still evokes “stylish” , “fashionable”.
Perhaps it would be fit-for-purpose for you (or somebody you know)?
Offering the name via 3rd party domain service – dan.com
Click To Buy or Make An Offer