There's actually a good way to "move" the gold to the Monastery. It doesn't involve carrying it yourself, though.
The spell Teleport, in addition to its normal use of moving creatures, can also target objects. It targets an object that fits entirely in a 10-foot cube, so if you fill a crate with gold coins you should be able to teleport it in one or two castings. (The gold itself fits in about 8 cubic feet based on weight, but I'm not sure how much extra is added for the coins. Depends on their shape, I guess)
There's a 100% chance that the gold arrives on target if you have something from the Monastery that's taken no more than 6 months ago; so if you haven't been gone too long you might already have it. Otherwise, you have to go pick something up. (You probably don't want to gamble with a literal tonne of gold, let alone the 5 you have)
That just leaves you with casting a 7th level Wizard spell. Fortunately, there's a magic item just for you; the Helm of Teleportation (which is a Rare Item). It even comes with 3 charges, so you can move the gold and yourself if you want.
(You might want to risk teleporting yourself initially; you'll have an easier time finding your way to the Monastery than you have of finding back the missing gold if it ends up in the wrong location.)