If you have a template dna for the 160 bases perhaps you could use short primers (sequence specific) to amplify the ds DNA. Then using this dsdna as template and with the same specific primer only this time with the 35base tail at the 5'end cycle the reacton using the forwards and reverse long primers separately to produce ss dna of 195 bases.this could be purified and then annealed to the opposite strand to give 160bp dsdna with 35 bases of ssdna at each end