Check if there is even a minimum draft in the chimney as it is fired from the top and it will burn like a cigar.
If there is no draft, there is no need to smoke, because it will go out, and so as not to hammer, you could drill and blow air from the bottom, but you would have to go down every few dozen cm and plug the holes above so as not to get poisoned, but drilling in the chimney is not the best idea because it may take revenge in a few years in various ways.
Extension is not a problem, you need a PVC installation pipe
As advised
cybernetes At the end, you mount something like a drilling head which you drive with a snake in the pipe and it works like a cable drive in a car meter.
The pipe is flexible enough to break in the revision and in the chimney it will go straight and will tear the garbage
It might be something like a foraminifera
http://www.okazje.info.pl/okazja/dom-i-ogrod/...aft-otwornica-do-plaster-boards-standard.html only that it would be good if they had some way for garbage to fly down because it can clog Teeth can also be too aggressive in such a case