Depending on what kind of pest control you're doing, a field target legal gun is not going to have the power or be easily adjusted to shoot both pest control and field target well. But a Hatsan 95 runs just barely above field target power limits so if that power level was good for you, you could do both.
I enjoy field target very much. .177 will shoot higher scores since you'll get flatter trajectories and more shots will squeeze through the kill zone for a hit. Great pest control / small game hunters do well at Field target, but mostly they end up being separate guns. I have shot field target with a magazine-fed rifle as well as a single shot. My preference is always single shot but for a do-it-all gun, magazines work great and you can always install a single-shot adapter when you don't want the hassle of the magazine.
For field target having a good rifle is important but having a suitable scope that is properly ranged is far more important. Just go to a match and you'll see quickly how it needs to work.
An FX crown is a good choice. It won't convert easily between the perfect high power and perfect 20fpe (Field target legal) tune, but you can always get it set up for field target / general plinking power and then work out a higher power tune based on hammer and port settings. I would only buy a Walther or FWB match grade rifle if I had a very specific purpose for it that I can optimize the system and leave it alone.
** If the local field target club has extreme (high power / long range) field target events, then you really can build a ferocious pest control rifle in .22 and compete with it. I assume that's not the field target you had in mind, but it's a possibility.