I think you would have to use different gauge strings, tuning up a fifth would probably snap the string if you played too hard and at best would shorten the string life. I opted for GDGD as you can effectively get DADA by capoing. GDGD is the tuning Seth Lakeman has on his tenor, and I believe Karine Polwart has either AEAE (like a cross tuned fiddle) or DADA (I did ask her after a gig, but have since forgotten!)

I think the modal tunings are great for the current British folk thing but would be really limiting for playing jazz - tenor guitars were designed originally for banjo players who wanted to 'branch out' into guitar playing and needed a stepping stone along the way.