In my honest opinion I don't think you'll be able to find a provider who can offer 50GB disk and 500GB bandwidth for that price with free WHMCS. If you're looking to actually use that much resources then you'll have to double your budget if you want anything reliable or perhaps go for a VPS instead.
budget and requirements aren't fitting with each other - bandwidth isn't cheap and any host offering you free whmcs usually includes the price (or a good percentage of it) in the total price - so you'll have a pretty hard time finding what you need for that budget and requirements. and litespeed is another issue - not every host comes with litespeed so you get limited on your choices even more.
Very rarely companies provide hosting on your requirements. Additionally budget seems to be low.
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Look in the offers section for reseller hosting providers that offer what you are looking for within your budget however I do not think you will be able to find a litespeed reseller hosting provider for within your budget.
The cost to include a WHMCS license alone usually will cost the host around $10, give or take, depending on how many license they have. LiteSpeed is another premium that the host is paying for. Combined with your disk and bandwidth requirements, the margins for the web host to make a profit would be very slim.
Long story short, you're going to need to increase your budget a bit or lower your requirements .
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