Vertical (up) auto reflection with jig transit?? HELP!!

[Mokoz]

Need to auto-reflect off a mirror target looking straight up. Have a K&E 71-1012 jig transit (at the site actually) and doesn't appear the right angle eyepiece with light kit will fit looking up. Interferes with the standards.

Is it possible to use a mirror and position the instrument horizontally?

I think the site has a Wild t2. Can I make that work?

Thanks for any help