I took all the numbers folks posted on this page for today and deflated them together. That produced a three-way tie in Tier 8, so I added increase's October Big List to break the tie and now we have a winner! Here is the chart:
Tier 9
047(047,074,074,407,407,704,704,740)
Tier 8
017(017,071,170,170,170,710,710) 234(234,243,342,342,342,423,432)
Tier 7
034(034,304,340,403,403,403) 045(045,045,054,054,405,405) 116(116,116,161,161,611,611) 136(136,163,316,316,316,316) 236(263,263,362,362,362,623) 345(345,345,345,435,435,543)
Tier 6
013(013,013,013,130,301) 039(039,309,903,930,930) 134(143,314,341,413,431) 679(697,697,769,769,976)
Tier 5
006(006,060,060,600) 056(056,065,605,605) 079(709,790,970,970) 123(123,123,231,312) 127(127,127,217,271) 137(173,173,173,317) 138(183,381,381,381) 156(156,156,561,561) 235(235,352,523,532) 334(334,343,343,433) 368(368,386,638,638) 389(389,389,389,983) 447(447,447,447,744) 457(475,547,547,745) 569(596,695,695,956) 698(698,869,869,986)
Tier 4
016(016,061,601) 027(072,702,720) 057(057,750,750) 059(509,509,590) 066(606,660,660) 113(113,311,311) 114(114,141,411) 118(118,181,811) 133(133,331,331) 146(146,416,614) 147(147,714,741) 166(616,616,661) 167(176,716,761) 239(239,392,932) 245(425,452,542) 265(526,562,562) 269(692,692,692) 335(335,335,353) 344(344,344,443) 346(346,436,643) 399(399,939,993) 459(495,594,945) 465(465,654,654) 478(478,847,847) 579(579,795,975) 609(690,690,906) 699(699,699,699)
Tier 3
004(040,400) 007(007,700) 032(032,203) 044(044,440) 046(046,064) 050(050,050) 058(058,085) 068(806,860) 077(770,770) 088(880,880) 111(111,111) 112(112,121) 117(117,117) 126(126,126) 144(144,144) 179(719,719) 184(418,841) 190(190,910) 223(232,232) 226(226,622) 246(642,642) 257(572,725) 258(285,528) 266(626,626) 276(276,726) 278(287,728) 336(336,336) 338(338,338) 348(438,843) 356(356,563) 359(359,539) 387(738,783) 408(408,840) 409(490,904) 446(446,644) 466(466,646) 479(479,974) 545(545,554) 568(586,856) 669(669,696) 708(708,708) 777(777,777) 789(798,978)
Tier 2
000(000) 003(300) 011(011) 012(012) 014(014) 033(330) 036(306) 037(730) 038(038) 067(076) 119(191) 122(122) 128(281) 150(501) 157(175) 196(691) 222(222) 225(522) 233(323) 237(273) 259(592) 333(333) 347(347) 349(943) 366(663) 377(377) 379(793) 388(388) 429(942) 442(442) 448(448) 467(764) 469(694) 472(724) 489(498) 538(538) 556(556) 557(755) 558(855) 559(559) 577(757) 599(959) 668(668) 673(763) 678(678) 688(688) 693(693) 727(727) 765(765) 792(972) 858(858) 884(884) 958(985)
Tier 1
001 022 042 062 092 115 135 142 149 155 186 188 200 227 228 242 255 286 291 337 339 350 444 468 520 541 544 566 578 666 667 677 735 747 778 779 817 828 832 845 909 913 949 979 981 992 999
Most-drawn straights:
<No clear winner>
I studied that for a while and then went with... 777.