Ed, Edd, Eddie!
Don't listen to these terrestrial loving people! :starwars:
I like your H.lividum or H.gigas idea - if you customize their enclosure with false burrows on the sides of the enclosure, then you'll see them everyday

We did that with our P. muticus - she never ever ever ever ever comes to the surface, not even to molt - she is busy molting now, I am so excited... but back to the topic..... :laugh:
I like putting some of my burrowers (especially slings & juvies) in long tanks with lots of peat... they can dig to their heart's content and I can see them anytime of the day.
The gigas are somewhat more active, especially if you create a communal. But just be careful when they reach adult stage... some say : One gigas to rule them all!
If you want a little fighter, go for the
Chilobrachys huahini (Asian fawn)
- they are pretty and very feisty and burrow with very extensive webbing.
Obviously you have to be very careful with ALL tarantulas - I've never been tagged by an Old World T - because I take the necessary precautions... and I'm sure you will too