Glad to hear you had a fun game. Orks are always disadvantaged when fighting Eldar since they're a FF army and Orks a CC army that has to fight mainly FF against Eldar skimmers. With a 3 for activation unless engaging or double moving(giving them a -1 to shoot) shooting just isn't Orky! IMHO.
I favor mainly infantry for my Ork armies and avoid vehicles for just that reason. See PFE100's battle report here in early August when Orks took on a Titan Legion for army list and very nicely detailed AAR. Since you want to close to CC as quickly as possible, using vehicle-less mobs as scouts and using Landas is a must!
I'll be using that exact same army again this coming Tuesday for a game. Oh, don't forget to have plenty of Fighta Sqwadrons to suppress enemy artillery and CAP to keep their bombers worried.
I hope this helped. Britt
