I don't know that there is a simple answer. Really, this is not specific to my mics. Most cardioid mics will have bass rolloff outside their proximity range (12 inches or less). Also, many cardioids have a presence peak. There are exceptions, like the Shure SM81. But the 1C is not one of those exceptions. I did strive to reduce the high-end boost, because I'm not too fond of it, and there are plenty of other choices for that sound, but the 1C is far from flat.
As for the room, you have two major issues in an untreated room with recording drums. The first is flutter echo or comb filtering caused by a low, reflective ceiling. That is going to be difficult with any type of mic. Fortunately, it is easy and cheap to treat with acoustic ceiling tile (look for the fiberglass ones) installed above your drumkit.
The second problem is various early reflections off the other surfaces, those will depend more on the type of mic, and they also can be harder to treat. However, keep in mind that any polar pattern is going to be effectively omnidirectional at low frequencies. In that case, a cardioid with a bass rolloff can be advantageous, but it might require tom mics to pick up the body of the kit.