Try switching to a linux based OS. Then use the latest Nvidia driver for linux, ie. version 460.84
https://www.nvidia.com/download/driverResults.aspx/175875/en-usEven though the 3070Ti is not yet officially supported by this version, if the driver installs and running "nvidia-smi" shows the card as a "Graphics Device", then CUDA will launch on the card and you can try to mine with the card.
This behavior can be seen (for example) with the 3060 which is not officially supported by driver versions lower than 460.56, so installing an older driver version (for example 460.32.03) will show the following under "nvidia-smi":
+-----------------------------------------------------------------------------+
| NVIDIA-SMI 460.32.03 Driver Version: 460.32.03 CUDA Version: 11.2 |
|-------------------------------+----------------------+----------------------+
| GPU Name Persistence-M| Bus-Id Disp.A | Volatile Uncorr. ECC |
| Fan Temp Perf Pwr:Usage/Cap| Memory-Usage | GPU-Util Compute M. |
| | | MIG M. |
|===============================+======================+======================|
| 1 Graphics Device On | 00000000:1D:00.0 Off | N/A |
|ERR! 58C P2 99W / 100W | 5576MiB / 12053MiB | 0% Default |
| | | N/A |
+-------------------------------+----------------------+----------------------+
+-----------------------------------------------------------------------------+
| Processes: |
| GPU GI CI PID Type Process name GPU Memory |
| ID ID Usage |
|=============================================================================|
| 1 N/A N/A 747155 C ./rtx3060miner 5573MiB |
+-----------------------------------------------------------------------------+
You'll notice the driver doesn't recognize the card and lists it as a "Graphics Device", but despite this the card can still run CUDA kernels and thus mine.