One more aproach with industrial hint:
C2H5-Br + Mg--> C2H5MgBr
C2H5MgBr + C2H5Br--> C4H10 (butan)
Butan gas is industrially oxidized to acetic acid with Co catalyst, at T=150C and 55atm presure:
C4H10 + O2 --> 2CH3COOH
Then using Kolbe or Duma methods or Borodin-Grignard you may transfer acetic acid to methane...