Set up cash crop on a Caribbean island, with the money fund their order ?
That is certainly a way to go - but I see the Templars transitioning from banking Holy Order to hybrid theocratic corporation-state. With a base in Morocco, and with part of their modus operandi being the expansion of Christendom AND having an interest in trade and profit - I can't see why they wouldn't want to set up their own plantations, it ticks the expansion of Christendom box and the trade goods to sell box.
Right now that seems like a good idea, but back in that time period, the Templars would never opt for starting colonies, because the benefit would not be clear yet, and it would seem like a lot of hassle to set up. Not only would it potentially piss off other European powers, but it would also require them to built a fleet capable of protecting their colonies (because for them to be actually profitable its got to be more than just a few) from not only other powers trying to confiscate them, but also pirates and privateers. Not to mention the fact that focusing on colonizing would mean they'd need to set up a seperate governing body for those colonies, which could harm the command structure. It would distract too much from their job at home, since they do not have the luxury of relative "isolation" like the British, Portuguese, Spanish and French had. And by that isolation being that they do not border a super hostile people group, namely muslims, that have some sort of grudge against them, for being a Christian Holy order that took their land, that would carry out frequent raids against the order.
My point is, that it would never make sense for them to set up a colonial rule in the New World, as it would not seem a priority at the time, and they would impossibly know if it would be profitable, leading to a lot of resistance within the Orders leadership to any colonial venture, as a lot of the leadership would believe the resources are better spend fighting the muslims.
The only reason a Holy Order would be able to get a colony ( like the knights of Malta did in OTL) is because they do not pose a threat to the other nations, and do not posses the power base to prevent the previous (or next) owner from taking it back.