I have some experience of both ice diving (including various mishaps) and solo diving, but still separately. I guess I'll eventually try combining these as well. Couple of practical points I would like to point out:
1) Preparing a new ice dive site takes a lot of work. Even with a group you have to be careful to share work and try to do it calmly, or, you'll get sweaty in your undergarments - something you'll definitely realize later in the day when you a freezing cold. There is work cutting the ice, it has to be atleast 5-10 cm (4") thick to carry the weight and gets too difficult when it is thicker than 50 cm (20"). Hereabouts there is also a lot of work to clear the snow from the ice surface, both near the triangular entry hole and also the radial plowed tracks that work as visual cues leading back to the hole.
As a solo diver, I would consider doing this work on a previous day. But even then, one might have to reopen the hole.
2) A typical ice hole hereabouts is a triangle with the sides about 2m (7 ft) long each. For solo diving I would consider something smaller, maybe 1,5m (5 ft) because this might help your exit from water.
3) It is not uncommon to do ice diving using cave diving rules with a continuous line. However, in a lost line situation, ice diving is different: it is a very large place to find the line again if you lose it. Consequently for a solo diver, I would strongly recommend placing the hole in a bay in such a location that you can navigate to it with other means as well if you lose the line.
4) There will not be anybody to help you out of water. Sometimes with ice it might be difficult. However, you can doff you gear in water and then climb out. You could also have a sturdy rope tied to the frozen ice blocks that you lifted out of the water. I definitely would NOT go ice diving, if the blocks were only shuffled away under the ice.
5) Ice diving needs skills and training. Get them and practise them before trying it solo. Additionally, when solo ice diving, you should have either technical and cave diving experience of dealing with all problems underwater. It is not only common, but actually frequent, that even the best regulators begin to blow either immediately after splashing or deeper down. I have had my first stage freeze at the deepest point so that it gave air only in small trickles. I do recommend triplicate gear.
