Bouncing signals off of the ionosphere is most definitely not an option here. The bandwidth of the signals that Starlink needs in order to provide service are far wider than the range of frequencies that bounce off any layer of the ionosphere. If you could get a 10GHz signal to bounce off of the F layer, you'd have a lot of very excited amateur radio operators who would start using that instead of the moon as their reflector.

Thanks for your comment, I know the ionosphere is used in Electronic Warfare but I didn't realize it was so limited in frequency.

Is there really is no way to reflect signals off the ionosphere out of phase so after reflecting they interfere into a higher frequency?