I suspect the question may have arisen because of the death in Cozumel.
To the OP -- although I agree with everybody else that this is a very ill-advised dive, the short answer to your question about ceiling is that it is quite dependent on what decompression model you are using. If you are using a pure dissolved gas model (Buhlmann or modified Buhlmann) your ceiling will be quite shallow, and you will do a relatively long deco there. If you are using a bubble model or a hybrid model, your ceiling will be lower, and you will distribute your decompression between there and the surface.
Your descent and bottom time will give you an average depth of 150 (roughly) for that part of the dive, which is 5.5 ATA. That, for nine minutes, would give you 50 cubic feet of gas used at 1.0 cfm. At the average EXPERIENCED diver's consumption of .7 cfm, that's 35 cubic feet of gas. That is almost half of an aluminum 80. Although I won't list all the details, the system I use would call for 18 minutes of deco between 70 feet and the surface for that dive -- average depth 2ATA would be another 25 cf of gas for the deco. Now you're at 60 cubic feet out of your aluminum 80, and we haven't accounted for ascent time or deep stops which your model might call for.
The bottom line is that, even if you were willing to assume the narcosis risk involved in going that deep, and the risk of having no redundancy at all at that depth (which scares ME), you simply don't have enough gas to do the dive safely, even if you do it perfectly.