Doc the house has no say in this at all. You obviously do not understand the constitution. Btw even if the constitution allowed for them to intervene, democrats control the house.
I think you're wrong. (Article 2, Section 1, Clause 3)
https://theconversation.com/congress-could-select-the-president-in-a-disputed-election-149580
If the election is contested and undecided (ie, tied up in courts) on the day the Electoral College is to vote and thus no decision can be made, the decision is moved into the US House of Representatives. However, each State is allowed ONLY ONE VOTE per State. Thus each State's congressmen (sexist, I know) must come to a conclusion for their own State. The GOP controls the majority in no less than 26 States (some have equal representation or equal congressmen). Thus the vote of the majority of States would likely vote for Trump.
The House has gotten involved only three times -- all in the 1800's.)