Well, Royall is very clovey. Bigelow, to me, is more about the synthetic woody drydown but very good and a bit spicy. Ultimately, the eugenol in Pimenta Racemosa will always wind up a bit clove-like. However, for a pure bay rum that displays both the green and spicy elements of bay, you have three options:
Cheap - Superior 70 - Available from Walgreens.com and a few of their B&M stores for under $3; 70% alcohol, bunch of bay oil
Still pretty cheap - Dominica - Available from many online vendors; straight bay, fleeting, oddly soothing as an aftershave splash
Still a damn fine bargain - Meehan/Bonny Doon - Magical melding of cane spirits (boozy!), rosewater (soothing and fleetingly fragrant), and bay oil (rich and deep and long-lasting)
The last of these three has excellent longevity for a bay rum and is my personal favorite.
You might also give Lubin Idole a spin; the saffron and tobacco take it out of straight bay rum territory, but a big boozy opening and a spicy middle yield the general impression of a bay rum with all-day longevity and superb wearability.