Nice to join the team

[jeanjo]

Hello, I am a Nikon user and I plan to offer a serious photgraphic kit to a young lady who will soon be nominated Doctor in medicine. 

The Nikon D7500 is an option but I am a bit disapointed with the announcment compared to the D7200 I use myself. The other option is the Sony A7 ii kit but I want to extend the kit with some tele capacity. The Sony documentation on lenses/adapters compatibility is not very helpfull (understatement?). 

The best option I found is the Sony 55-300 wich I understand is a A mount. I know it is not full frame but that is OK for me. 

My question is: Would the Sony 55-300 and the adapter EA3 be OK with the A7 ii. Will the exposure control be OK ? But most important  what about the autofocus? 
Should the 55-3000 body show the SAM word or is a SAL product good enough ?

Thanks