A 7 mm Freedive suit (such as a MAKO Yamamoto Suit) will be extremely warm. However the OP is asking about a quick drying wetsuit. Any wetsuit which has a lycra or nylon exterior (as our suits all do) will be subject to evaporative cooling on the surface. Until the material is totally dry there will be some heat loss associated with evaporation.
The normal solution for an extended surface interval in cold weather is to remove the suit. Alternatively, you can wear a large parka or boat coat or some windproof garment that provides insulation AND eliminates the evaporative cooling effect.
I suspect the OP has a pretty good handle on these constraints and strategies to offset the issue.
If evaporative cooling is a major concern, the diver does NOT want to remove the suit between dives and does not want to wear a windproof outer garment, then the solution is probably to use a wetsuit with a smooth bare rubber exterior.
The smooth rubber on the outside holds essentially zero water, it will dry in a few minutes completely and then the evaporative cooling is eliminated.
Some freedivers prefer a suit like this and they can be purchased. Generally a freedive suit has smooth (bare) rubber on the inside and a nylon exterior. This makes for a flexible suit and one that is quite resistant to abrasion and other abuse.
A smooth rubber suit (with nylon only on the inside) will be slightly harder to don, but will be much warmer on the surface before a dive. The big problem with these suits (and the reason that their popularity limited) is that they are very susceptible to UV damage from direct sun on the exposed rubber. The back and shoulder will begin to crack and weather in a year or two - depending on frequency of use and sun exposure.
There may also be some issues with abrasion from the tank harness etc, and the knees are also very vulnerable to abrasion with no exterior protection. However, if the diver understands these limitations and can accept a somewhat shortened life span for the suit, then a smooth rubber exterior suit may be the best choice.
As mentioned, MAKO does not sell such a suit, It may be possible to wear one of our 5 mm freedive instructor suits inside out (since they have no knee pads, chest pad etc) but I really can't recommend that because I don't know anyone who has tried it.
I think you may be able to buy a stock or custom suit with smooth rubber exterior from Elios. Not sure of wait times etc. but it might be an option.