The training visa ia an M1 or J1 for flight training in the states.
As for the basic Scotland Disclosure check, why don't you just obtain a basic disclosure? It will only cost £13.60 and will take a week or two to arrive.
Anyone can obtain one for themselves. I had to apply for a basic disclosure for the Security Pass at Cardiff International Airport myself as it is for airside access but for private flying and thus an employer would not be paying.
http://www.disclosurescotland.co.uk/
It seems that you can start the process online nowadays:
https://www.disclosurescotland.co.uk.../BDO_Instr.htm
You will then know whether it will show up on the disclosure certificate... however you won't be able to use that certificate to obtain an airport pass as it is only valid for a certain period (a few weeks or a couple of months, I can't remember as its been a while since I obtained my airside pass) and thus a new one would probably be required.