I am not an expert just some ideas to help with setup.
to ball distance, trunk load, receiver draw bar or WD unit weight
, tongue weight are factors was told by RV dealers and this is what is stated on Elite Eaz-Lift web site. Trunk load is added to draw bar or WD system weight, and tongue weight.
That is why trunk is empty when we pull, all items in the trailer.
This is based on our trailer:
Trunk load+WD draw bar system+tongue weight=WD limit needed. 0 + 250 lbs + 62 lbs = 312 so can use 350/3500 but 400/4000 better. Better to have a little extra.
The 400 unit works with 100 to 400 lb range or you can go with a 500/6000 or 600/10000; the 600/10000 unit works with range of 200 to 600 lb range in tongue weight this is from WD system web site.
The heavier units weigh more though
The car has limits you still can only pull cars limit. "Your car is larger and has bigger motor"
We use a WD system with a Class III hitch did cost a lot more though than the 100-150 in your post; $650 for the custom class III hitch and then had to purchase the WD system they range $400 to $750 + draw bar, we had a sway bar
already so did not have that cost, then had it setup by a specialist. Can-Am RV :: Home
Will also need a electric brake control module, with harness. You can get an electric brake module for about $100 and the harness is made for your car; just plugs in to harness runs forward to under dash installed for total of about $200.
You may want to have a transaxle cooler kit for hills and log trips as we push a lot of air dealer said we need this. "The Corolla has a 4 cyl engine and you have a v8 so your transmission is heavier built"
Our car was ordered from dealer with tow package that included the brake module, harness, and a hitch already installed.
B&M Shift Improver kits; most are dual and include RV/Towing and Street/Strip
"Transaxle cooler, brake module and WD system" worth it; consider all the years of fun you will have.
P.S. we have automatic transmission; again the Lincoln Town Car is heavier unit and the above is based on our car. Still electric brakes
are a safety item worth it.