That 'limitation' has more or less disappeared in the past 2yrs of cameras.
There used to be limitations like poor iso performance, not enough MP, not enough DR.
Nowadays, almost all cameras can do these decently with good /fast lenses for most general purposes.
If you want 'dirt cheap' FF, the Canon 5D is a good option.
AF is not that good, but its a camera that is still able to get the job done.
A camera good enough for pros and commercial work just a few years ago, for very little money.
There are also the 5DII and D700 to look at.
Aps-c has reached a point where its good enough in most situations.
Some like the K3 even have Af points that are sensitive to -3ev (ie. can focus even if its very dark)
Others like aps-c mirrorless come with fast lenses catered for the aps-c format (eg. Fuji X series), though AF is usually a bit slower than similar priced DSLRs.
So there are plenty to choose from.
No wrong choice at all.