How do you intend on getting to the property if it is landlocked and you are not granted an easement? I cannot see you being granted a variance if you have no access. I cannot see a lender (bank, mortgage lender) loaning money for you top build if you do not have an irrevocable easement.
You do not buy property with the hope you will get an easement. You deal with it before buying or making it part of the deal.
so, what options do you have.
depending on why this property became landlocked, you might have a right to sue for an easement. If the person you are trying to gain an easement from is who you purchased the property from, you might have a right to sue for an easement.
so, was your property and the property you are trying to get an easement across ever owned by the same person. Were they ever part of the same parcel?
I am not an attorney and any advice is not to be construed as legal advice. You might even want to ignore my advice. Actually, there are plenty of real attorneys that you might want to ignore as well.