Don't waste your time or money.
Your wife does not carry bear spray or a canned air blast horn?????????Why the heck not????????????????
Front loaders mounted on mules were an after thought and only ment for light materials not as heavy working implements.
If you end up doing that you will break welds and tear out the stuffing boxes on the dump cylinders eventually.
As you have no experience as you stated it may be simpler to just hire a neighbor
to mow it for you and it will cost you less money.
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If you really want a front rotary(choke) cutter/mower you should invest in a front hitch
with a PTO run off the crankshaft pulley but the loader would have to come off.
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Buy a rear mounted flail mower rated for your mule with a 7-8 foot width of cut and be done with it.
You can keep it all mowed to two inches tall the year round with barely a grunt on the
diesel engine at the 1000 or 540 RPM engine speed.
The rear three point hitch is designed for the heavy work of pulling the rolling trailed implements and
for ground engaging implements like dirt plows and rototillers and lifting heavy attachments like three point hitch mounted planters, disc harrows, cultivators, bedders, tank sprayers, hay tedders, hay rakes. etc
All you need to do is remove the bucket when mowing to keep it out of the way.
Another option is a Surplus Mule/equipment sale from the local or state highway department and
these things have barely 1,000 hours on them per mowing season. Most allof them are Alamo(choke) hydraulic drive fold out wing flail mowers with a integral three point hitch mower mounted in the rear and they have a hydraulic saddle tank on the left side. with a boom mounted flail mower you have more reach and can mow further to the right if desired.
Before you make any decision you ought to look at how many law suits have been filed with regard to rotary cutters of any type after they have killed or maimed people do to the blades flying off.
Hire a neighbor to do your mowing and mow a walking path with a riding lawn mower when the neighbor is done to get it down to 2 inches, much less expense and much less work.
You and your spouse need to carry bear spray and a canned air blast horn with you at all times.
If you do buy a rear mounted flail you can purchase them with a hydraulic side shift attachment from several implement makers.
A new rear mounted boom mounted rotary or flail with a rear tank will run into 3-5 times the cost of a rear mounted flail of equal width with a side shift option.