Can’t tell you much about the coil other than use ohms law. Put what you know in this calculator see what the results are http://www.ohmslawcalculator.com/ohms_law_calculator.php
So if you have 50v and a 1.6 amp fuse. The above calculator will tell you the min ohm that coil can be. Answer is V/I = Ω = 31.25 ohms.

I don’t think you will have an issue using the 24v version. The 24v version will have thicker winding to handle more amps, if anything. So long as the new coil has a resistance > 40 Ω and fits.

resistors are current limiters, adding a resistor will only make the coil weak.

Something's way off here. I have a 1967 Bally Surfers which is a zipper flipper game. It uses the same solenoid as Capersville does. 184-239. I put the meter on mine and it reads 9 ohms. The schematic shows a 1.25 amp slo-blo. Surfers is a 50v game just like Capersville.

Of course, I measured this resistance with the leads attached, which occasionally will give you a bum reading, but I don't believe that this solenoid could possible be a 31 ohm solenoid. That's way too weak a solenoid to do the job this one does. It pulls in the plunger that moves the entire zipper flipper assembly to close. Once it gets to closed position there is a latch plate which holds the assembly closed. It's opened by a separate coil that pulls in the latch plate and releases the zipper flipper latch and the springs on the assembly pull everything back open. To pull that assembly it has to have a lot of power, like a flipper coil would have, and a 30 ohm solenoid just wouldn't have enough oomph to get the job done.

I understand this all violates Ohm's law, but experience tells me that this has to be a strong solenoid too. Anyway, that's what I found out. An internet search doesn't tell me the resistance of that solenoid and even John Robertson's chart doesn't have it. It's not on the schematic either.

If it's truly below 2 ohms, it's close to dead short territory and probably causing your problem. I wonder if you sent him the frame if Steve Young would rewind it for you?

You maybe right, maybe the slow blow fuse allows 5.6 amps for a time. this would give you 270 watts or .36 HP to move the flippers in ( 1/2 the power of a Nutribullet,lol ). Slow blow fuses are hard to find data on, but what i have seen some can last for a full sec with 600% over load.

The one thing I had not conceded in my above post, is this coil only fires briefly then mechanically latches so the on time is very short.

So 9 ohms it is, as measured on a working coil.

It's definitely not a hold coil. It just has to pull in long enough for the latch to grab.

That was what was confusing me, because it's pulling way more amps than the fuse is rated for, but as it is a slo-blo, maybe that is the explanation. A lot of electrical stuff eludes me at times...

Clay rewound one as seen here> http://www.pinrepair.com/em/index3.htm#zips

Also, Clay gives the resistance rating of the coil there, so now we know for sure.

Zipper flipper assemblies are a bit complex, but not terrible, to take apart. Just make sure you take lots of pictures to make sure you get it back together correctly. I removed mine awhile back to clean the entire assembly up. Parts for it are not easy to come by.

Just be aware that the one in clays (Link above) has a different part number (E-184-277) then the one you are using. I doubt there will be much difference.
looking at the manual, Capersville is when Bally made a change to this coil.
There is also E184-234 and the one you have E-184-239. I would go with the measured resistance in EMsInKC post above personally, as it is the same coil on the same machine..

This link is worth book marking too, i have set it to the page about the Zipper Flipper.
http://www.planetarypinball.com/reference/partsmanuals/BLY_Parts_1969/index.html#/132/

If you decide to rewind, also look at this thread, the OP Pic are missing but if you scroll down he has pic of the rewind in progress. There is a lot of satisfaction form doing this type of repair yourself.

https://pinside.com/pinball/forum/topic/wtb-e-184-277-coil

Look at the time (3.25pm), off to drink Christmas eve Beers.

Have a good one.

Chris