Would PostGIS offer an advantage over MySQL for a produce farm application?
I am a great PostGIS fan and have no experience with MySQL so I mght be biased.
But from what you write I think of two reasons to switch.
first, it will most surely be much easier to implement new features like the season map you mentioned.
second, when you today do your trigonometry calculations I guess you are doing it outside the db. if you do all that in the db instead you are much more free in your development of the overlaying applications.
you will probably not have to do any calculating outside the db if you run postgis.
the season thing you mentioned might be doable in MySQL to since it sounds very basic but you will get mmore flexibility in PostGIS with access to all spatial functionality.
/Nicklas
If only because you will have a lot more choice in third-party applications for generating maps of your information (mapserver, geoserver, etc, etc) loading data (ogr2ogr, fme, etc) PostGIS would make a better choice. MySQL will only suit if your needs continue to be relatively limited.
MySQL has also a spatial extension but, as far as I know (I have never used it), is not as feature rich and stable as PostGIS.
If you are considering to use a spatial database, PostGIS is a good choice and the effort of switching will be worth.
While MySQL already provides some functionality to store and operate on geospatial data, the functionality leaves quite a lot to be desired and is far from providing full OpenGIS compatibility.
Most notably is that all functions that query spatial data only operate on MBRs (minimum bounding rectangles), to simplify the operations.
http://forge.mysql.com/wiki/GIS_Functions