Question on using bi-amp...

Yes you can do it,that what the way I did for my system and
it wont hurt your speakers either.

If you connect both amps to the same terminals at the same time, you are courting disaster.

connecting two amps to one same terminal will result in frying one of the amps or even both depending on which one is on. In my VTL MB100 the output impedance is 0.3Ohm that means that if I would connect it along with the other amp(some of them have even lower output impedance) the resulting load on each amp will be almost zero which certainly will result either blowing of an output fuse or even output transformer. you should definitely use an A/B switch and please do not call it bi-amping. now having a tube amp you must realize that if you leave it on without loading unswitching A/B switch you will fry the transformer so you should arrange a dummy load resistor while one of the amps are not operating but stays on(would you turn-off tube amp every time??)
as far as I know that your bat can be re-arranged as mono and you can buy the other same bat. many people have done this so far and have a great improvement in performance of 120W per each side.

A safe way to switch amps is to use a switcher box. There are many different designs available but unfortunately I do not have enough experiences in them to make recommendations. Maybe other members can help.

if i had bat i would definitely contact viktor that is always helps either thorugh e-mail or phone. please make a note that bat units is very costly $$$ to fix! you can also buy a pair of bat monos(usually sells cheaper per each than one stereo amp) and than sell yours.