Sonkeigo Problem

[sandoicchi]

Dear Jref people,
i have an oral test tomorrow and need some help. I have to ask my teacher questions in Sonkeigo.
We only learnt verbs that can be converted to the sonkeigo form but how about this sentence:
あなたの一番好きな食べ物は何ですか.

Would there be any changes?

Thank you very much.

 

[Toritoribe]

I would say 先生は、食べ物では何が一番お好きでいらっしゃいますか。 or 先生の一番お好きな食べ物をお教えいただけませんでしょうか。.

 

[nice gaijin]

お好き！ holy crap, 美化語 has infiltrated everywhere!

 

[Keith888]

Is the following also good enough?
先生の一番お好きな食べ物は何でしょうか。

 

[nice gaijin]

It's polite and correct but I don't think でしょうか is explicitly sonkeigo, just teineigo