Arabians are slow compared to Thoroughbreds over short distances (under 3 miles or so), but they are faster in general at long distances 25-100 miles or more. As for which stallions are siring top racehorses, it would be best to do research on the Arabian Jockey Club site or through equibase.com and datasource. These stallions would be the proven horses passing on speed.
There is an inverse relationship between Speed and Distance. This is demonstrated by the average times in Thoroughbred racing at their various distances. Horses running 6 furlongs are faster than horses running a mile and a half.
Speed would have been important to the Bedouins. Think about the emphasis we put on fast cars in our modern culture. The bedouins would at times need to outrun their neighboring tribesmen, and they also raced their horses for sport. The best think to do to REALLY research this is to contact the WK Kellogg library at Cal Poly Pomona, they can give you a bibliography of books that would contain information about Bedouin culture and their horses.
I think your questions are a little bit vague as to what you're referring to as speed blood. Are you looking for specific horses in a pedigree that a known for passing on speed?
Hope this helps a little bit.
Thanks for the reality call about the Bedouins. That helps a little.
Again, not important enough to research everywhere to answer one question...
I tend to be not very apt at phrasing questions or statements correctly to get my point across, but I'm honestly not sure how else to put it. I'm going to try to give examples, however it's completely off-breed.
I'm a stock horse person, mostly. One of my mentors has generously taken the time to teach me all she can about QH, TB, and Paint pedigrees and breed history. Speed blood seems to be a very important factor in quality horses, and by speed blood I mean (if anybody knows about these horses) Three Bars, Leo, Barred, Beduino, Depth Charge, Top Deck, Depth Bars, Easy Jet, Ed Echols, Go Man Go, Grey Badger II, Jet Deck, Lightning Bar, Maddon's Bright Eyes, Midnight and Midnight Jr, Chicado V, Tonto Bars Hank... Those are all pre-1970s or so, going back to the early 1900s. Those kind of horses are influential in a stock horse pedigree. It's speed blood. They raced and proved themselves in match races, on the track (AA or AAA), and/or they produced champion racers. However, every single one of them had near-perfect conformation (a far cry from what you see nowadays), and most of them could halter.
Is speed blood important in good quality Arabian pedigrees? What are the old speed blood horses? Are modern day racing Arabians still pretty conformationally correct, or have they strayed off the breed ideal?