The cast cutter you showed from hss is the way to go,not easy to use till you are used to it,you will need at least an inch clearance around the pipe for the chain cutter to wrap around.You wrap the chain around,each link has lugs that drop into recievers,then you ratchet with the long handle till the chain is just gripping,then run the chain back and forth till its run a mark all round the pipe,you only need to go around about a quarter of a turn as each cutter is about 2" apart so they overlap as you rotate.Then tighten up the chain,one click only,patience will be rewarded,same again with rotating and tightening one click till the the pipe goes with a bang,which is quite alarming if you havent done it before.You will need to cut again obviously,to get your section of pipe out.I would then use a "Timesaver" cast branch to slot straight in,they fix with 2 part cast clamps and a rubber gasket,not too pretty but better than a mix of cast/plastic,though the clamps will fit onto 110mm plastic if you wish to run plastic from the branch to whatever.You say there is no collar visible to join to at ground level,when you cut the soil pipe low to the ground from experience,chances are you will see a collar not too far below the surface which you could cut around and use if you feel the need.