You don't have a solution because there isn't a solution.
It's your definition of "good compression" which is leaking the data, not TLS, if you're willing to let Bill guess what your phone number is, while you agree to just tell him which digits he gets wrong, Bill can guess your phone number in no more than ten tries (the tenth will be correct if none of the others were).
TLS doesn't actually leak the compressed size, it's just that in practice you will stop the TLS session after transmitting the compressed data, because to do otherwise is wasteful and if you didn't care about waste you would not use compression. If you want, you can run TLS with padding to always hit, say, a multiple of 4 kilobytes per transaction. Now say your "compression" took you from 3.84kB to 2.16kB and then you padded it to 4kB anyway and oh, wait, this was worse, why did we bother with compression?
If you have a system with an explicit range of sizes and can tolerate always transmitting the maximum size, TLS absolutely will mask out the actual size with padding.
You don't have a solution because there isn't a solution.
It's your definition of "good compression" which is leaking the data, not TLS, if you're willing to let Bill guess what your phone number is, while you agree to just tell him which digits he gets wrong, Bill can guess your phone number in no more than ten tries (the tenth will be correct if none of the others were).
TLS doesn't actually leak the compressed size, it's just that in practice you will stop the TLS session after transmitting the compressed data, because to do otherwise is wasteful and if you didn't care about waste you would not use compression. If you want, you can run TLS with padding to always hit, say, a multiple of 4 kilobytes per transaction. Now say your "compression" took you from 3.84kB to 2.16kB and then you padded it to 4kB anyway and oh, wait, this was worse, why did we bother with compression?
If you have a system with an explicit range of sizes and can tolerate always transmitting the maximum size, TLS absolutely will mask out the actual size with padding.