I'm in the neighborhood and would be willing to come take a look. I've been in the market for a year or so now, so I'm pretty familiar with current prices based on what has been replaced and what hasn't. Most people just get an LMTV running and then replace things for the next 3-5 years as they break rather than going through and replacing all of the seals, gaskets, pieces of rubber, worn wires (basically everything that degrades with time rather than odometer miles) at once, so the prices can be very different depending on what has and hasn't been fixed.
If you get it up and running it's worth around $25-$35k to the right buyer, depending on condition - mostly due to being a winch model
Yeah, this is the top end once everything rubber/plastic has been replaced and it's reliable to drive around. It goes down to around GovPlanet+$10k ($13-15k for our area) for something straight from GovPlanet, assuming it's titled for road use (knock of $2-3k if not), that is able to start and move itself on and off a truck but not much else.
It's probably worth noting that doing fixes before sale, apart from replacing those batteries and getting it running, probably won't net you anything. The people looking to buy these either don't think about labor costs or they're using it as a project where the labor is a bonus, so you'll basically only add the price of the parts to the sale price for anything you fix.
The one exception is once everything that needs to be replaced
(more or less this list) has been done, you'll see an extra $5-10k added (to the $35-40k range) because some buyers will pay a premium for something they can just drive and not have to work on. It's not worth the time at all if you value your own hours, but it can be a nice little bonus for something you inherited if it's almost there already.
While it might be what someone thinks they want to do, it's not the best choice..... although most buyers have never built one, driven one, sat in one, or even seen one in person let along driven all the different model and all the different engine performance options and gearing options and habitat/chassis options. Guys like that (myself and a few others around here) don't want that. But we're also not the market - the market for that specifically WILL be almost entirely first-time buyers that have no idea what they are looking at and will probably buy the first one they see. So you just need to be that truck for them.
I feel targeted

though I have lurked here long enough to know I probably want to hold out for an A1R coming onto the market. They never seem to be for sale publicly though. People buying LMTVs tend to want to turn them into work trucks (farm trucks, water trucks, etc) or overlanders/RVs (though you really want the double rear axle for those builds). With the winch you'll probably appeal more to the former (sounds like this is what the original owner used it for) than the latter.
It's probably also worth noting that there haven't been a lot for sale publicly in the region this last year (a few on GovPlanet that didn't run in the last two weeks and one on CL a few months ago in a similar state for $5k that sold in ~8 hours) so there's a good chance it will get snapped up regardless of how well it works for the buyer's purpose.
Edit: Probably worth sharing
my CL search of the western US and CA for comps to give you an idea. All of these have been on the market for several months and so are probably priced a little high (the $1 listed one started at $18k and is now down to $15.5k). They're mostly in the SoCal region (including Phoenix) which seems to have a lot for sale and not many buyers, if they were already up here they'd likely be sold easily.