This is one of those situations where the easy answer is, "Don't dive." It's the risk-minimization answer. It's what new divers should decide.
If you know your typical gas consumption at 65 feet, you have a rough timer. If you know the dive won't come anywhere near your NDLs before you run out of gas, you have a plan. The one thing that isn't clear to me is what kind of dive this was -- if it's a square profile dive, I'd want something to indicate depth on ascent. A bag with a knotted line would do. A buddy with a working gauge would be much better.
If it's a shore dive where you know the contour, I have no issues with the dive at all. There is a local site where I have done a dive without a gauge (although, admittedly, with a buddy who HAD a working gauge). But at any give spot in that site, I can pretty much tell you a) how deep we are and b) how long it took to get there.
If you use Nitrox, there are a LOT of dives that you simply aren't going to be able to push any limits on, using smaller tanks.
Would I recommend this as a usual practice? Absolutely not. Would I condemn an experienced diver for doing a risk assessment and concluding the dive was safe? No. (This includes the second dive, too, with the caveat that the ascent profile has to be controlled in some fashion.)