thank you for sharing your situation with us in the community.
As for your question in regards of asylum claim in Germany:
You have been granted student permit in one of the Dublin countries, therefore Germany would not process your case but send you back in order for the Czech R. to process it.
Therefore I would suggest to you rather apply for a scholarship, there are some options:
Or the poltical associations such as the Heinrich Böll Stiftung, Konrad- Adenauer Stiftung etc.:
They have offices everywhere and support in particular Students with academic backround who cannot support there studies entirely themselves.
I hope could help you, if you have further question please do not hesitate to use the platform.