It's very hard to give a definite answer, but as you noted the Huckel model is actually designed to be non-selfconsistent, and is also originally developed for organic systems, so I think at the very least the results will be "representative" enough to use for real work. You can perhaps search the literature for other work on similar systems using the same model, and see how they treat SCF vs non-SCF.
Actually, if I recall correctly, we mainly added the SCF option for the semi-empirical models to use them in transport simulations, where definitely the effect of charge transfer is crucial, and a non-SCF solution would not be accurate.
Btw, it is not entirely impossible to use DFT for the system size you mention, at least with a small basis set like SingleZetaPolarized. You might want to give it a try at least :-)