That's pretty far in the budget category for what's available here, so it's more like looking for features and hoping build/design quality is "good enough" than actually going for a trusted manufacturer. At least here, getting a manufacturer with some reputation for good quality products starts at 2-3x that price retail, and continues up sharply for the top brands.
Do you have the option of looking on the used market? Maybe you can find an old lower power HP supply or something and then get a higher current supply of some sort for your high power needs. Going to be tough to find two in that pricerange, but unless you're buying used with analog displays, it's near impossible to get 3 channels with two 35V 5A channels at anywhere close to that pricepoint... even then it could be tough. Reduce the current requirement and maybe the voltage slightly, should be easier. Looking around, stuff by BK Precision, Lambda, GW Instek, Extech, or HP seem to come up as triple supplies available used and any would be at least a reasonable brand (though the supply itself will probably be pretty old).
Reviews on the really cheap units can sometimes be found, but since there's no guaranteed the manufacturer won't change the hardware/firmware/specific parts used... they're only going to give you a general idea of what's going on.