Putting full lease's rent down as security deposit

[Tyson Davis]

I live in FL and am currently looking to rent a luxury apartment in downtown tampa. I've had my current job for 2 1/2 yrs making 75K per year and have a clean background but before I had my current job I was unemployed for a while and ended up filing for bankruptcy causing my credit to take a huge nose dive (sub 500 range). 

my Question is: to avoid the credit requirement (I wouldn't be able to find a co-signer) would I be able to put an entire lease down as a security deposit and pay my rent as usual so long as my income qualified? I say as a SD bcs from what I've researched, in fl you cant really offer to pay the actual rent all up front bcs the tenant is still entitled to that money should he leave one month into the lease. 

would this strategy worked if I approached the property manager with this offer? Any help appreciated! Thanks!