The sites were proposed after a government inspector said insufficient land was allocated to meet the original target of 7,500 homes by 2021.
A report warned the inspector could declare the LDP "unsound" without the extra sites.
Opponents claim homes in some new locations would add pressure to local traffic, water and power supplies.
The Llangollen site earmarked (county council reference number AHS 15) is 0.26 hectares of land at Wern Road, which planners believe could accommodate eight homes.
A county council report says of it: “Thirteen responses [were] received, of which 6 are objections.
“Llangollen Town Council expressed its support for development on this site throughout the process.
“Local residents are mainly concerned about the impact of additional eight houses on the local road network and impact on the (local) natural environment.
“Highways consider that this development would only have negligible impact on the existing road infrastructure with site access to be created from existing estate road.
“Adverse effects on landscape and wild life will be mitigated through applying high quality design in line with LDP policy RD1, Supplementary Planning Guidance Note 26 (‘Pontcysyllte Aqueduct & Canal World Heritage Site‘), and LDP policy VOE2.”
Other areas in the county put forward for more homes include Bodfari, Llanarmon, Llanbedr DC, Dyserth and Cyffylliog.
The largest site is at the former HM Stanley Hospital in St Asaph where 172 extra houses are planned.