Skip Kendall has the most career rounds when winning exactly 0 tournaments, with 1,387 rounds.

	NAME	ROUNDS	WINS	EVENTS	TOP 10	MONEY
1	Skip Kendall S. Kendall	1,387	0	1262	26	$8,087,631
2	Brett Quigley B. Quigley	1,298	0	1237	34	$11,058,694
3	Marco Dawson M. Dawson	1,281	0	1121	18	$4,341,729
4	Briny Baird B. Baird	1,217	0	1169	31	$13,251,179
5	Omar Uresti O. Uresti	1,160	0	1005	14	$3,839,334
6	Brian Davis B. Davis	1,141	0	903	28	$13,043,542
7	Kent Jones K. Jones	1,137	0	1032	11	$5,386,475
8	Cameron Tringale C. Tringale	1,067	0	510	31	$17,310,003
9	Brandt Jobe B. Jobe	998	0	842	22	$8,964,956
10	Brendon De Jonge B. De Jonge	987	0	662	28	$11,568,484
11	Ricky Barnes R. Barnes	977	0	564	19	$8,890,854
12	David Hearn D. Hearn	947	0	488	23	$10,017,925
13	Craig Barlow C. Barlow	935	0	793	15	$5,236,816
14	Jeff Overton J. Overton	934	0	735	32	$11,790,635
15	Patrick Rodgers P. Rodgers	924	0	327	28	$16,623,208
16	Charlie Wi C. Wi	796	0	687	21	$10,079,660
17	Mark Hubbard M. Hubbard	786	0	244	16	$11,499,629
18	Greg Owen G. Owen	771	0	597	15	$8,221,913
19	Tag Ridings T. Ridings	718	0	582	13	$4,683,438
20	Adam Schenk A. Schenk	705	0	229	19	$12,445,388
21	Spencer Levin S. Levin	696	0	493	17	$8,098,656
22	Josh Teater J. Teater	693	0	446	14	$5,969,551
23	Steve Marino S. Marino	688	0	550	23	$10,361,154
24	Beau Hossler B. Hossler	674	0	206	17	$13,084,634
25	Cameron Percy C. Percy	671	0	255	12	$5,494,566

StatMuse has season-level data for rounds and tournament wins going back to the 1980 season.