Surgery is just about
the worst option for a clinical stage T3a tumor like yours. You would pretty much be assured that you will need adjuvant radiation afterwards which compounds the side effects of treatment.
The best results for high risk cases like yours have been reported for a combination of brachytherapy (preferably HDR brachy - see below) and external beam with hormone therapy starting 2 months before and continuing for up to 18 months. You should be talking to an experienced radiation oncologist about
this.
Here are a couple of references:
Quality of Life After IMRT or IMRT+HDR Brachytherapy for Intermediate- or High-Risk Prostate Cancer: 8-Year Results of a Prospective TrialHigh dose rate brachytherapy in combination with external beam radiotherapy in the radical treatment of prostate cancerIf you are thinking that you can always get salvage radiation later if it fails, look at the evidence. The side effects are much worse than if you had had just done the combo therapy in the first place. Radiation can treat an area outside of the prostate capsule that surgery can't, and you already know that is where the cancer is.
I'm not saying that primary radiation will be a walk in the park either. The proximity of the cancer to the rectum and the urethra means that larger than usual areas of those organs will have to be treated. The reason I'd prefer HDR brachy combo therapy in your case is because seeds can't be pushed into the wall of the urethra and rectum whereas HDR brachy catheters can, thus increasing the chance that the therapy will be curative.