I'm not a great fan of training rather I like to spend as much time on the water as possible, but some injuries from time to time and time out of the water had me prepare some light training, I like to walk for around an hour encompassing steep hills whilst also doing small weights in each hand, different movements and stretching etc, also after a recent back injury I found swimming laps and using the spa sauna steam room then laps again, repeat again, is quite therapeutic although I need three showers to rid my body of chlorine afterwards, you cant beat salt water IMHO.
As a side note I find riding my mountain bike leaves me quite sore and doesn't particularly help my SUPing when I do it the next day, BTW why do expensive bikes have such uncomfortable seats? I think it uses much different muscle groups or something as it just doesn't fit for me.
I have seen lifting heavy objects underwater looks like good exercise, Laird has videos on this, unfortunately I don't have access to a pool where the owner dosnt mind having large heavy objects on the pool bottom.

Another thing id like to do but for a lack of two suitable trees at home is slack lining.