I'll let it ride.

粗挽きのソーセージ	65 <- GG5 example
粗挽きソーセージ	13343

I'm not a fan of combining adj-f and adj-no as often the former seems to be just a case of an omitted の. I see there are 14 entries with "adj-f,adj-no" - not a lot.
We could perhaps raise this as an issue, or just let it ride for now.

Judging by the n-grams, this seems more like adj-f than adj-no to me. Maybe it's both?

Daijs, nikk, and meikyo say [n]. Meikyo also says [vs,vt] (粗挽き)

Google N-gram Corpus Counts
╭─ーーーー─┬─────────┬───────╮
│ 粗挽き　 │ 122,018 │ 36.7% │
│ 粗びき　 │  83,851 │ 25.2% │
│ 荒挽き　 │  34,859 │ 10.5% │
│ あら挽き │   7,103 │  2.1% │
│ 荒びき　 │   3,602 │  1.1% │
│ 粗碾き　 │   1,446 │  0.4% │ 🡠 rK (daijr, shinmeikai, oukoku)
│ あらびき │  79,529 │ 23.9% │
├─ーーーー─┼─────────┼───────┤
│ 粗挽きが │     733 │  N/A  │
│ 粗挽きの │   9,869 │  N/A  │
│ 粗挽きし │   1,527 │  N/A  │
╰─ーーーー─┴─────────┴───────╯
Top 10 N-grams Lookup for 粗挽き (Frequency Order)
╭─ーーーーーーーーー─┬─────────╮
│ 粗挽き　　　　　　 │ 122,018 │
│ 粗挽きソーセージ　 │  13,343 │
│ 粗挽き黒　　　　　 │  10,594 │
│ 粗挽きの　　　　　 │   9,869 │
│ 粗挽き黒胡椒　　　 │   5,915 │
│ 粗挽き胡椒　　　　 │   5,751 │
│ 粗挽きに　　　　　 │   4,258 │
│ 粗挽きソーセージの │   3,430 │
│ 粗挽きコショウ　　 │   3,219 │
│ 粗挽きソーセージ・ │   3,094 │
│ 粗挽きにし　　　　 │   2,923 │
╰─ーーーーーーーーー─┴─────────╯

@@ -20,0 +21 @@
+<ke_inf>&rK;</ke_inf>
@@ -25,0 +27 @@
+<pos>&adj-f;</pos>
@@ -26,0 +29,3 @@
+<pos>&n;</pos>
+<pos>&vs;</pos>
+<pos>&vt;</pos>

2,000,000 粗挽き
  577,000 粗びき
  464,000 荒挽き
  123,000 あら挽き
   60,000 荒びき
    7,000 粗碾き
       24 あら碾き <- Not included, as too rare
荒挽き is used on Boss coffee can (Boss Black, say)

* Add spelling 荒挽き
* Reorder spellings

@@ -4,6 +4,0 @@
-<k_ele>
-<keb>あら挽き</keb>
-</k_ele>
-<k_ele>
-<keb>粗碾き</keb>
-</k_ele>
@@ -17,0 +11,6 @@
+<keb>荒挽き</keb>
+</k_ele>
+<k_ele>
+<keb>あら挽き</keb>
+</k_ele>
+<k_ele>
@@ -18,0 +18,3 @@
+</k_ele>
+<k_ele>
+<keb>粗碾き</keb>