Ok. So is it you holding the fish when you catch something big?
In which case it's essentially a self-portrait, right.
I'm trying to grasp the scenario:
Camera on tripod using self-timer or remote to fire it while you hold the fish up?
At which point do you focus?
Do you
a) turn the 60D's screen around so you can see it, hold down a remote shutter to allow the camera to focus (which takes a while) and then shoot
b) focus the camera on a point, start self timer then run into position for the shot
If it's a) then firstly the live-view focus on the 60D isn't brilliant because the focus area is so big compared to a single focus point, secondly, you can more between when it acquires focus and when you take the image, giving an out of focus image.
If it's b) then you may just end up standing in a different place to where it was focused.
In terms of a "down grade" of the lens. I wouldn't worry. I've owned both the 50mm f1.8 Mk2 and the 50mm f1.4 USM and found that optically, they are near enough the same. So if you switched to the 50mm f1.8 STM, which is much newer, optically it's not really a downgrade. The weak points of the old f1.8 Mk2 were a) slow/noisy AF, b) poor build quality, c) f1.8. The new STM version has improved on the AF speed and noise issue and the build quality is much better too. So the only difference is the f1.4 vs f1.8, but to be fair, sometimes f1.4 is too shallow.
There are plenty of people using the 50mm 1.8 STM on full frame cameras, so it's certainly a good lens.
Here's my comparison shot of the 50mm f1.8 Mk2 vs the 50mm f1.4, taken on my old 60D.
Canon Nifty 50 f1.8 vs f1.4 @ f1.8 by
Alistair Beavis, on Flickr