Looking for an integrated tube amp under $2500

If you are looking for a warm sound you should try to find an amp that uses EL34 type tubes. This Primaluna Prologue should fit the bill!
https://www.upscaleaudio.com/collections/primaluna/products/primaluna-prologue-premium-integrated-am...

I assume your 7" spec relates to height (as already pointed out). I also assume this height limitation is for limited clearance into a shelf system. If my assumptions are correct you will have a hard time, not because you might not find an amp less than 7" tall, just that even if you do, and it fits, you will not have sufficient clearance to dissipate the heat from the tubes. In an open rack you probably should allow  6" or more clearance from the tubes. FWIW.

as noted above re tube heat..

the VTL integrated can be had used every now and then for $2,500, otherwise Rogue is a great choice also

@newbee

The distance between shelves is around 8-1/2 inches plus it’s open on all sides. My previous amp was around 7” so that’s why I stated no more than 7”.

@yogiboy

My previous amp was a PL DP

@jburidan 

Here's the scoop, I own a hybrid, the BAT 3000SE. I bought it used after selling the PL and wanted to try out a hybrid. It's a great sounding amp, very detailed and dynamic but I still prefer the lushness and sound stage of an all tube amp. Even with tubes in the preamp stage it's still a SS amp.