[Storage] Begin migration to test proxy

[mccoyp]

Description

This PR is meant to get the process kickstarted to migrate data-plane Storage packages to the test proxy. This introduces a new Storage test class, StorageRecordedTestCase, that inherits from the AzureRecordedTestCase that's used with the test proxy. Eventually, this new class can be renamed and completely replace StorageTestCase.

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• The pull request does not introduce [breaking changes]
• CHANGELOG is updated for new features, bug fixes or other significant changes.
• I have read the contribution guidelines.

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• Pull request includes test coverage for the included changes.

[azure-sdk]

API change check

API changes are not detected in this pull request.

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[ghost]

Hi @mccoyp. Thank you for your interest in helping to improve the Azure SDK experience and for your contribution. We've noticed that there hasn't been recent engagement on this pull request. If this is still an active work stream, please let us know by pushing some changes or leaving a comment. Otherwise, we'll close this out in 7 days.