My 2018 1025r has lots of clearance (3/4" ) with factory turf tires. However just looked and my tires are 285/60-12.
The K502 HDAP is the same dimension as the stock Carlisle R4. I run the K502 with no issues with a 54” deck. Others run them with the 60” deck too.
2015 1025R FILB, iMatch, 53" Bucket, 54D Mower Deck, 54" Snow Blower, Heavy Hitch Dual Suitcase Weight Bracket, Heavy Hitch Front Weight Bracket, EA 48" Plugger, Garber 48" 3 point Seeder, Kens bolt on hooks, CountyLine (Tarter Gate) 60" box blade, Kenda Terra Trac HDAP tires (front and rear), CozyCab Sunshade, TSC CountyLine (Tarter) 48" yellow rototiller, BXPanded 25 gallon 3PH sprayer.
Try tightening up the front draft arms on the front of the deck, you know with those big nuts that sandwich around the clamps on the front cross bar? I originally had them too loose and my deck was rubbing my rear tires, I made the draft arms tighter (pulling the deck more toward the front of the tractor) and then they cleared.
1984 JD 316 w/ cat 0 3-pt hitch and 2000 rpm pto, 48" tiller, 49" snowblower, 42" belly mower
2015 JD 1025r, 60d MMM, 54" front mounted snowblower, Heavy hitch, Ballast box
1980 JD 1050 4wd, JD 75 loader, IH 60" brush hog
1980? Satoh S550g Elk, 60" belly mower
McCulloch Saws - 1970's Mini Mac 30; Mac 10-10
1978 Ariens Sno-Thro 32"; Troy-Bilt 24" snoblower
1996 Polaris 680 Ultra Snowmobile, 2004 Yamaha Raptor 660, 2016 Polaris Sportsman 570
1996 KTM EXC 300
Gravely ZT-HD 60"
Just be careful with any deck adjustments that you keep the leading edge of the deck slightly lower than the trailing edge of the deck, per deck set up instructions. Also, always measure the actual mower deck cutting blade height with the deck height tool from Deere because leveling the actual deck itself won't achieve a level cut because of the decks design. There are details for the proper leveling of each mower model and each deck model in the stickies at the top of the forum headings for each category machine............
As to the OP, I think you are going to be happier with these tires in the winter on your machine as well. They seem to be the ideal all around season tire. The only issue which also needs to be considered is the tires sidewall strength when running the FEL and carrying heavy loads, that is where the R4's seem to excel and also as far as running the tires in fields with objects which can puncture a tire or sidewall, such as some heavy thorns, etc.
1025R with Mauser Cab (10/2017)/ 120R FEL / RC2048 Mower / All of Ken's Bolt on Products / 60" HD Front Broom / 3 pt 45 Gallon Boom less Sprayer / CA2068 Core Aerator / I-Match / 54" Snow Plow w/ angling Quick Attach / Frontier 3 Pt Sprayer / Pallet Forks / 8 -42# Weights
John Deere 455 (New in 9/1996) / MC519 Cart /60" MMM /47" Snow Thrower / 7'3" snow plow / Quick Hitch / 4 -42# Weights / JD#10 CartExMark Lazer Z w/60" Deck , Billy Goat Blower , Full Stable of Echo Products
Think you messed up in your tire selection.