I'm not sure what you are talking about Snake, I found horses just west of the Alps.
Snake,
there may be a couple of issues going on here.
1. make sure you have the latest firaxis updates installed.
2. delete the current version of TAM
3. download the latest version released
http://forums.civfanatics.com/showthread.php?t=264559
4. make sure you download the new mappack as well, and that they are installed in the proper folders (delete or remove your old maps)
5. remember this is a "baby" BTS MOD, the version you were testing was simply the last version of vanilla TAM 2.01 imported into BTS. We are still working out the numerous mechanic changes that this required, and just now getting started on fleshing out the added changes introduced by BTS.
6. the last TAM vanilla version only had 18 civs on the huge meditteranean map, and it was no problem for Rome to obtain horses in either Gaul, Germania, Dacia or even Hispania. The addition of 6 Civilizations has altered the Balance of the Game from what it was, we will be working on this as we grow TAM in BTS. There is a reason the versions are not even 1.0 yet, because technically its not even Born yet...... haha..... think of it as a premature baby.
7. The military portion game of CIV4 and especially TAM BTS is based on the combined forces strategy, and by adopting this you will improve your campaigns whether offensive or defensive.
8. A strategy I often use is the "cannon fodder" one, instead of spending gold on upgrading existing units, i push the military techs to bring in better firepower. I replace my older units that are stationed in my cities with new ones, then use those older units as skirmishers in an offensive campaign.
Just something to try, this strategy is not for everybody, but I tend to do it a lot this way.
9. Im wrapping up my second test on v.082 as Carthage, and just finished taking ROME......

.
My next test I will test as Rome, and will keep in mind, the items you have brung up.