Regarding Article II, Section 3 and the SOTU. I believe POTUS could force the issue based on Constitutionally convening Congress, but that could be a battle due to rules and no precedence specifically relating this power to a SOTU. Remember the 53-47? PDJT could simply do as this President did:
George Washington gave the first "Annual Message" in the Senate chamber in January 1790, after the Congress had met for the first time in 1789 but two months before its second session in March 1790. Subsequent messages came shortly after the convening of Congress, fulfilling the intended purpose of the Framers that the occasion was not for pomp but for practical content
McConnel does the invite, if a resolution is needed, it should pass and Nan is irrelevant, once again. Nothing says he has to do it from the House.