Welcome to GA - they do produce a good product so if you're happy with what you've seen then give them a go. Just don't have any more of your money tied up there than you need to. The same caution would apply to any training organisation. Laying off instructors and going into debt seems to be normal practice with half these places.
The worst case scenario is the place falls apart and you change to your second option. The best case is that you are shielded from whatever the management is doing and come out of it well trained with the right qualifications.
If you read through the previous requests about which school at BK is best, the one you're looking at has come up a few times with positive comments.
Hope it all goes well!