There are a number of new developments on RT 90 near Conway and on 701 south of Conway that meet your requirements (except perhaps the lot size). It will be near impossible to find anything closer.
This house is in a non-HOA community which is closer but is slightly older than your 10 year old requirement.
https://www.realtor.com/realestatean...-45509?view=qv There are several houses for sale in this same community.
Anything that's newer and closer to the beach is going to have an HOA.
You should contact a realtor to help you find what you're looking for.