I think a Kirov is a 50-195
I should probably say something on topic too. If changing course across the LOS is not an option, I'd stay on a lag LOS and stick with course changes in the 30-60 degree range. Speed changes are also an option, but that might be every bit as obvious as a radical course change if you're trying to look like a fishing boat or yacht.
Something you have to accept is that the speed and quality of your solution depends on your willingness to change ownship's contribution to the bearing rate. And the more you change ownship's contribution, the more obvious it is that you're the enemy. It's a tradeoff. FWIW, IMO getting a solution more quickly is a higher priority than "looking innocent," since there are plenty of other tells than course changes. It is definitely possible that an opponent might mis-classify you, but I wouldn't count on it. Be ready to shoot.