GPS data - points to line loose information

Hi

Probably wrong place to post, but I gave figuring out the logic behind the forum.

I have a dataset of GPS data from a collar that was on a Red deer for a few months. This is point-data logged with a interval on 1 hour.
I use an iterator (row selection) to get the relevant data out and transform it to a line using Point To Line tool.
Now i want to find out where the door crosses some roads. For that i use Intersect tool and get all crossings as points.

All well so far.

Now the problem is I need to get the time, or at least some time interval, for that crossing. When i transform the points to line all the relevant data i obviously lost.

Any inputs I can try out?

Thanks a lot!

Mathias