An example of quam (meaning “rather than") used with infinitives, both with and without a finite verb of desiring in Classical Latin:
nam et qui dicunt, egisse malunt quam agere, et qui audiunt, finire quam iudicare [Pliny the Younger, Letter to Arrianus VI.ii.5] ("The truth is, our advocates take more pleasure in finishing a cause than in defending it; and our judges had rather rise from the bench than sit upon it.")
Another from Cicero, Pro Caelio XIX:
A quo quaeram, si prodierit, primum cur statim nihil egerit, deinde, si id queri quam agere maluerit, cur productus a vobis potius quam ipse per se, cur tanto post potius quam continuo queri maluerit. ("If he comes forward, I shall ask him first why he did not prosecute immediately, and then, if he preferred to make that complaint rather than prosecute, why he was trotted out by you instead of his own self, and why he preferred to complain so long afterwards instead of straightaway.")