This got me to thinking, so I did alittle research. If you classify True D1 schools as being those with FBS football, the answer is 13/58. If True D1 is FBS or FCS football, the answer is 28/58. If True D1 is D1 basketball, the answer is 35/58. It all depends on how you define "true D1".
In my attempt for tallest post ever, I made the following table (I can't get the columns to line up on this paste) Enjoy:
Rpi, DI Men’s Hockey Team, Football Division, D1 basketball (yes or no)
1 Miami FBS Yes
2 Bemidji State DII No
3 Michigan State FBS (BCS) Yes
4 Quinnipiac -- Yes
5 North Dakota FCS Yes
6 Massachusetts FCS Yes
7 Mass.-Lowell -- No
8 Colorado College -- No
9 Wisconsin FBS (BCS) Yes
10 Denver -- Yes
11 Cornell FCS Yes
12 Minnesota-Duluth DII No
13 Alaska -- No
14 Boston College FBS (BCS) Yes
15 Providence -- Yes
16 Ferris State DII No
17 Nebraska-Omaha DII No
18 St. Cloud State DII No
19 Union DIII No
20 Princeton FCS Yes
21 Notre Dame FBS (BCS) Yes
22 Merrimack DII No
23 Colgate FCS Yes
24 Vermont -- Yes
25 Western Michigan FBS Yes
26 Northern Michigan DII No
27 Northeastern FCS Yes
28 Maine FCS Yes
29 Rensselaer DIII No
30 Michigan FBS (BCS) Yes
31 Minnesota FBS (BCS) Yes
32 New Hampshire FCS Yes
33 Ohio State FBS (BCS) Yes
34 St. Lawrence DIII No
35 Lake Superior -- No
36 Michigan Tech DII No
37 Boston University -- Yes
38 Robert Morris FCS Yes
39 Air Force FBS Yes
40 Yale FCS Yes
41 Alaska-Anchorage -- No
42 Minnesota State DII No
43 Alabama-Huntsville -- No
44 RIT -- No
45 Bentley DII No
46 Canisius -- Yes
47 Sacred Heart FCS Yes
48 Clarkson -- No
49 Bowling Green FBS Yes
50 Holy Cross FCS Yes
51 Niagara -- Yes
52 Harvard FCS Yes
53 Army FBS Yes
54 Connecticut FBS (BCS) Yes
55 American Int'l DII No
56 Mercyhurst DII No
57 Brown FCS Yes
58 Dartmouth FCS Yes