I have a 393, only a 2 ft step up from yours. My genset is in the sail locker accessible from the cockpit. On my boat, it's on the port side. The genset is a 4k Fischer Panda.
The list to port is not much affected, that I can tell. It may affect it, but I think it's negligible. The FP is light for its output, but other gensets could be considered too.
A 4k is enough to run the AC and charge batteries.