Proper snap setting to intersect a Draw Line to element when angle is locked?

I have a repetitive task where I must draw a line from a point at an angle and intersect another line. I've automated a few of the steps with keyins to activate the line tool at the correct angle whereby I can draw the line outwards and then intersect another line. I'm trying to do this with one click of the icon that runs the keyins, but there doesn't appear to be a snap setting that will allow me to tie to a line. This adds another step as I usually just end the line near where it should intersect and use the "Trim to Element" tool to connect. I have to do this a lot, so any reduction in steps helps to speed the process. Any help would be greatly appreciated.

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