Why might POTUS welcome an impeachment trial?

In the face of plummeting polls, the only reason Schiff & co. might want to impeach POTUS is that they believe it's the only way they can win. POTUS, for his part, seems to welcome the prospect of a trial…so the question remains, what might that trial be like?

>The Articles of Impeachment are received from the House.

>The Senate formulates rules and procedures for holding a trial.

>The trial will be held with the president represented by his lawyers. A select group of House members serves as "prosecutors." The Chief Justice of the Supreme Court (currently John G. Roberts) presides with all 100 Senators acting as the jury.

>The Senate meets in private session to debate a verdict.

>The Senate, in open session, votes on a verdict. A 2/3 supermajority vote of the Senate will result in a conviction.

>The Senate will vote to remove the President from office.

>The Senate may also vote (by a simple majority) to prohibit the President from holding any public office in the future.

https://www.thoughtco.com/impeachment-the-unthinkable-process-3322171

Note that the Supreme Court typically doesn't step in–but they might, if they feel a Constitutional crisis is at hand.

So the question is, what powers will POTUS's attorneys have to subpoena witnesses? Will they be able to call on Adam Schiff, and present evidence showing that he is compromised? Which attorneys would represent POTUS? Does POTUS want this trial to happen, so he can root out more traitors in the Senate? Thoughts?