Hi Mike,
As far as I know, there are no 2mtr/6mtr only fm/ssb rigs out there. Icom made a IC-706 series that was HF through 440 and was all mode. I own the earliest model that they made in that series and it's HF through 2 meters. The head was removable and you could remote the RF deck part but those remote kits are now very difficult to find. The newer "Mk" series included 440 all mode and I think the power on 2 meters was boosted to 35 watts. On mine, it is (I think) 10 watts.
Search on those rigs for specs and it will tell you more than I can tell you here. They can be had for about $400 for the earlier models and $5-600 for the Mk series. The whole line has been discontinued so you would have to buy a used one. I think Yaesu is still making HF through 440 mobile rigs and from what I understand, they are quite nice....and remote kits are probably still available for those and at a more reasonable price too.