No, Fahrgestell wouldn't work there. The bogie is something drawn by the tractor. M-W defines it as a "low strongly-built cart."
OED has more specific definitions, including: "northern dialect. A low strong truck upon four small wheels, also called trolley, hurly, etc. ‘A kind of cart with low wheels and long shafts, used by masons to remove large stones’ (Peacock Lonsdale Gloss.); ‘a rude contrivance for moving heavy articles, consisting of a simple plank on low wheels’ ( Lanc. Gloss.). esp. in Newcastle, A strong low truck (about 1 ft. high) on 4 small wheels, used, since c1817, for transporting a single cask or hogshead from the quay to the town;"
I would orient myself on the M-W definition, maybe simply Anhänger as you already had in OP.