In fact, the best ascent rate is one that is not linear. Remember, that as you near the surface during ascent, the proportional ratio of gas volume increases more rapidly the closer you get to the surface; so physics dictates that for optimal risk mitigation, you should ascend progressively slower as you get nearer and nearer to the surface (assuming you have the same rate of exhalation throughout). Furthermore, your computer or your upline might tell you how fast you're ascending, but neither of these devices knows how quickly you're exhaling at any given moment.
I learned in the old Navy tables 60fpm days, but.... ALL of these "rules of thumb", (including the most recent rule of 30 feet per minute; regardless if it's indicated by your computer or hand-over hand on an upline), are just that....."rules of thumb". These, along with visually simple references such as the "smallest bubble rule" were all created arbitrarily simply to make it easy for any diver to comply with a relatively safe rate of ascent (operative word there is RELATIVELY). In fact, the safest rate of ascent depeneds upon from what depth you start your ascent, how fast you're exhaling, and your rate should slow substantially as you near the surface (especially the last 20 feet).
I've been a commercial and recreational diver for more than 35 years, and after over 5000+ dives in all sorts of conditions, gas mixes, and depths, I've just about seen it all. I've seen people violate deco-stops and other people "blow and go" from 90 feet without injury; while other times I've seen people adhere to the hard and fast recreational "rules" and get themselves paralyzed or embolized from a "too rapid ascent" (even going 30fpm according to their computers).
In the old days (1960s, and 1970s), practically every ascent was conducted as though it was an emergency ascent; and I rarely saw an injury back then. In those days, even recreational divers were actually taught PHYSICS, and PHYSIOLOGY during an entry level course, (as opposed to the bogus crap weekend courses they are giving to 10-year olds nowadays -- Thanks PADI).
Divers back then understood how to conduct every dive, and every ascent in terms of RISK MANAGEMENT (which is about "probabilities".....ie maximize the probability of success....minimize the probablility of injury). The "smallest bubble" rule of thumb MIGHT work, depending upon what depth you reached, how long you stayed, from what depth you started doing an emergency ascent, etc..
In such a scenario as you describe, you need to get to the underside of the ice canopy asap (to minimize your depth and thus air consumption) before you make your way back to the hole following your rope (I'm assuming the rope tied to your waist is the "drag-out line" your tender will use to pull you to the hole .... right ?)., but anyway; knowing the PHYSICS, will serve you a lot better than a bunch of arbitrary rules of thumb. So sure, use the smallest bubble rule from depth to around 20 feet, and from there, slow down substantially until you hit the bottom of the ice...that should maximize your probability of success.
In any case however, I have to say this as well.....that the real moral of this story is this: in the scenario you describe (solo night-ice dive with no functional computer, ... qua..... 'how do I know how fast I'm ascending " ?.... answer is... you don't )....
Sorry, but that is a ridiculous question. If you're conducting a dive like that and find yourself in such a situation; sorry, but you have not managed your risk properly, and your ascent rate control should be the least of your issues. Anyone who actually gets themselves into that situation, if they live through it; should quit diving immediately and take up golf...because you don't belong in the water....and certainly not under the ice alone at night.
No offense, but no demonstration of bravado is worth losing your life over. Good Luck and I hope you never find yourself in this situation.