I managed to find the exact furthest headwaters of the Fraser at 52.519240,-118.334933° (thank you, latest update of Google Earth!), but I decided to start it from Moose Lake, the first and only lake on the river. I assume that this is the standard practice, since beyond Moose Lake the Fraser's barely a stream.
Coordinates of the Fraser River
52.936070,-118.853678
52.970888,-118.950527
53.001543,-119.051332
53.022965,-119.157195
53.017224,-119.266345
52.966991,-119.343492
52.969996,-119.457354
53.001479,-119.557136
53.045457,-119.642545
53.087677,-119.729750
53.133540,-119.811536
53.161695,-119.913646
53.202509,-120.004247
53.254733,-120.077504
53.308091,-120.146276
53.354646,-120.226851
53.384896,-120.327844
53.435209,-120.404422
53.476091,-120.494346
53.533480,-120.555126
53.565717,-120.654136
53.617225,-120.730990
53.668995,-120.803915
53.708519,-120.896925
53.750783,-120.986994
53.781203,-121.088887
53.802480,-121.197643
53.838597,-121.295742
53.878399,-121.388529
53.900849,-121.495981
53.919895,-121.605508
53.975137,-121.675092
54.032794,-121.734751
54.064960,-121.834336
54.117224,-121.908757
54.166295,-121.988495
54.194858,-122.091975
54.203244,-122.204727
54.227558,-122.312570
54.242638,-122.424722
54.212843,-122.527728
54.152744,-122.574100
54.096924,-122.514824
54.047603,-122.595265
53.996888,-122.671152
53.930788,-122.689786
53.874890,-122.757528
53.808310,-122.736465
53.742387,-122.710469
53.674790,-122.725159
53.611966,-122.681583
53.547268,-122.718128
53.484619,-122.675297
53.418607,-122.652826
53.383919,-122.751810
53.350713,-122.850781
53.282945,-122.854368
53.236627,-122.770118
53.172365,-122.728093
53.126906,-122.643178
53.090313,-122.549348
53.024044,-122.529249
52.956416,-122.514854
52.895302,-122.468331
52.827672,-122.458602
52.760948,-122.480347
52.694399,-122.474463
52.627290,-122.464723
52.560080,-122.478436
52.497990,-122.433776
52.433423,-122.404243
52.368513,-122.375733
52.331468,-122.282847
52.264347,-122.266234
52.196514,-122.270897
52.128430,-122.282563
52.061366,-122.275903
51.992889,-122.275622
51.925423,-122.275334
51.879741,-122.357025
51.820502,-122.408425
51.753831,-122.391595
51.689353,-122.359862
51.625659,-122.322885
51.559469,-122.297988
51.492095,-122.280493
51.434853,-122.222117
51.367829,-122.237691
51.300409,-122.236150
51.244386,-122.172671
51.180596,-122.128054
51.141772,-122.039562
51.085872,-121.975112
51.024302,-121.926428
50.964279,-121.880022
50.897577,-121.866244
50.830257,-121.874023
50.766469,-121.845828
50.715743,-121.912141
50.651334,-121.897540
50.592604,-121.846996
50.540971,-121.780204
50.484715,-121.722889
50.420569,-121.686147
50.353174,-121.671040
50.290208,-121.631188
50.229218,-121.585936
50.160822,-121.583838
50.094522,-121.563529
50.028621,-121.534976
49.963687,-121.502030
49.904500,-121.449365
49.836334,-121.437569
49.767858,-121.442934
49.701968,-121.411673
49.635151,-121.393790
49.566226,-121.399486
49.498638,-121.417172
49.430881,-121.433874
49.374718,-121.495998
49.355624,-121.596487
49.307151,-121.671093
49.243442,-121.710345
49.218851,-121.808395
49.225880,-121.913234
49.187184,-122.000935
49.149666,-122.088687
49.134062,-122.191682
49.129829,-122.294498
49.129829,-122.294498
49.147588,-122.394815
49.169223,-122.491968
49.195443,-122.587047
49.201608,-122.689697
49.215810,-122.790693
49.209112,-122.893364
49.156296,-122.957040
49.134945,-123.054495
49.109680,-123.149912
49.121339,-123.251319