Remington doesn't make anything i would rely on to be suitable for use in F-Class without modification, however as a basis for a custom rifle, you can't go wrong.
The Savage FTR shoots very well. Team Savage uses them. They are cheaper than the palma model, and as someone that does not use cheek weld, i do not consider this lack of an adjustable cheek piece as a problem. I agree with Matt's comments about the stock, but then it is unlikely you will not be bitten by the bug and the desire to upgrade along the way anyhow.
I would buy an FTR and upgrade the stock if you really think you need to. You will have the best of all worlds for not a whole bunch more.
Bear in mind, the FTR rifle (and the Palma) would be used in FTR class. If you buy the F-Class models, which come in 6BR or 6.5-284, you will be competing against full-on customs in Open Class. This is a much more technically superlative class.