At one time G-mark use to make a tiny .03 with a throttle and a muffler. Glow fuel I can't find my old documentation on it , but here is a picture I found about a year ago (below). Was a nice little engine. Every so often they show up on E bay.
Just as a side interest to the threat.....
The engine in the photo here is not in production, nor are they available, but it was a special 'government' project Dub worked on a few years back.
We use to call it the worlds tinyest ducted fan engine

.035 displacement, 28 grams. Turned somewhere around 40K rpm. 4 were built, only 1 was ever run. The project they were intended for ended up getting bigger and heavier - and ended up outgrowing this little jewel.
Enjoy
Bob