Imo it just can't be done! Especially in Invasion skulltag or Zdeamon games you have like 30 cyberdemons and fun is about dodging rockets and pwning with plasma, or going with super shotgun into a bunch of demons then firing and running back (because our marine runs MUCH faster than monsters - and you can run for unlimited time). In roguelike you just die if you encounter bunch of nasty hellspawn or barely escape. So at least things involving chance to hit (in doom you always hit.. well almost, you sometimes miss with pistol/chaingun), dodges etc would be eliminated I presume (you hit if you aim a monster, you dodge when you move away from projectiles).
If so, idea is nice, there are even some mods which involves character leveling but I'm not so familiar with them. Maybe mentioned above issues could be fixed with mobs strength scaling? So if you always hit and you can dodge pretty much anything if you're skilled you would have to get some damage improving traits... but then - goodbye Hellrunner, Eagle Eye etc. So......
DoomRL TILED EDITION! (aka DoomRL 1.0.0.0?)