50' with 5.5a still calls for 8awg wire, at least according to the calculator I usually use:
https://www.calculator.net/voltage-drop-calculator.html
... and that's still approaching 3% drop (2.88%). With 10awg you have 4.6% voltage drop on 5.5a.
I would go with the manufacturer's rated, it could do that in some heavy duty cycle when it's really hot outside or something, just when you don't want wires heating up / compressors being unhappy by not getting the voltage they want.
Plus, this is a pretty constant draw, the larger the wiring the more efficient the whole thing will be and that saves power in the end... I don't worry about that as much with an infrequent draw but fridges run frequently.
Using the calc for 6awg and 7.9a I get 2.6% voltage drop on 50', I would go with 6 gauge so you can handle the max draw without trouble and you'll be really efficient the rest of the time, even though I know the 6 isn't cheap.
I would love to have a set of Klein or something nice but I don't do enough big wiring to justify it. I'll share what I bought (no affiliation) when doing 6awg wiring for a solar setup at a cabin, certainly not tools you'd want to use every day if you were a pro but they will get the job done:
1) Most important item, hammer crimper:
http://tinyurl.com/vwkbkp3 $20 Can handle all big sizes, works fine if you don't need to crimp in place. I mostly used it in a vice as it's much more controlled, but hammering works too.
2) If you don't have something that can strip wire larger than 12awg, these worked OKish (not most impressive ever but for price...) to strip up to 6awg:
http://tinyurl.com/sr8ela2 $19
3) I needed big cutters too:
http://tinyurl.com/u248v9q $29, not currently available anymore so don't want to guess at equivalent.
So for $20 - $70 you can have all the tools you need to do big wire, just buy some lugs and (preferably adhesive) heat shrink and you can make some really nice looking setups.
-- Bass